FUZZY MEASURES AND FUZZY INTEGRALS: AN OVERVIEW

REFERENCES

• J. F. Baldwin , “ Evidential support logic programming .” Fuzzy Sets and Systems , 24 , 1987 , pp. 1 – 26 .
   Web of Science ®Google Scholar
• G. Biswas , “ OASES “ An expert system for operations analysis—The system for cause analysis .” IEEE Trans. on Systems, Man and Cybernetics , SMC-17 , 1987 , pp, 133 – 145 .
   Google Scholar
• L. W. Bogler , “ Sharer-Dempster reasoning with applications to multi-sensor Target Identification Systems .” IEEE Trans. on Systems, Man and Cybernetics , SMC-17 , 1987 , pp. 968 – 977 .
   Google Scholar
• . M. J. Bolanos Carmona, L. M. de Campos Ibanez and G. Munoz , “ Convergence properties of the monotone expectation and its application to the extension of fuzzy measures .” Fuzzy Sets and Systems , 33 , 1989 , pp. 210 – 212 .
   Google Scholar
• B. Bouchon and R. R. Yager , eds., Uncertainty in Knowledge Based Systems . Springer-Verlag , Berlin , 1987 .
   Google Scholar
• J.-C. Buisson and H. Farreny , “ The development of a medical expert system and the treatment of imprecision in the framework of possibility theory .” Information Sciences , 37 , 1985 , pp. 211 – 226 .
   Google Scholar
• R. Buxton , “ Modelling uncertainty in expert systems .” International Journal of Man-Machine Studies , 31 , 1989 , pp. 415 – 476 .
   Google Scholar
• L. W. Chang and R. L. Kashyap , “ Study of combination or belief intervals in lattice-structured networks .” International Journal of Man-Machine Studies , 30 , 1989 , pp. 193 – 211 .
   Google Scholar
• A. Chateneuf and J. Jaffray , “ Some characterizations of lower probabilities and other monotone capacities through the use of Mobius inversion .” In International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems . Paris , June 1986 , pp. 229 – 234 .
   Google Scholar
• G. Choquet , “ Theory of capacities .” Ann. Inst. Fourier , Grenoble , 5 , 1953-1954 , pp. 131 – 295 .
   Google Scholar
• M. S. Cohen , “ An expert system framework for non-monotonic reasoning about probabilistic assumptions .” In Uncertainty in Artificial Intelligence , edited by L. N. K.anal and J. P. Lemmer , Elsevier , Amsterdam , 1986 , pp. 279 – 293 .
   Google Scholar
• E. Czogala and K. Hirota , Probabilistic Sets Fuzzy and Stochastic Approach to Decision, Control and Recognition Processes . Verlag TOV Rheinland , Koln , 1986 .
   Google Scholar
• B. D'Ambrosio , “ A hybrid approach to reasoning under uncertainty .” International Journal of Approximate Reasoning , 2 , 1988 , pp. 29 – 45 .
   Google Scholar
• L. M. de Campos Ibanez and M. G. Bolanos Carmona , “ Representations of fuzzy measures through probabilities .” Fuzzy Sets and Systems , 31 , 1989 , pp. 23 – 36 .
   Google Scholar
• A. P. Dempster , “ Upper and lower probabilities induced by a multi-valent mapping .” Annals of Math. Stat. , 38 , 1967 , pp. 325 – 339 .
   Google Scholar
• A. P. Dempster , “ A generalization of Bayesian inference .” J. Royal Stat. Soc. B , 3 , 1968 , pp. 205 – 241 .
   Google Scholar
• D. Dubois and H. Prade , “ Combination and propagation of uncertainty with belief functions A reexamination .” Proceedings of IJCAI , 1985 , pp. 111 – 113 .
   Google Scholar
• D. Dubois and H. Prade , “ Evidence measures base on fuzzy information .” Automatica , 21 , 1985 , pp. 547 – 562 .
   Google Scholar
• D. Dubois and H. Prade , “ A set-theoretic view of belief functions-Logical operations and approximations by fuzzy sets .” International Journal of General Systems , 12 , 1986 , pp. 193 – 226 .
   Web of Science ®Google Scholar
• D. Dubois and H. Prade , “ Decision evaluation methods under uncertainty and imprecision .” In Combining Fuzzy Imprecision with Probabilistic Uncertainly in Decision Making , edited by J. Kacprzyk and M. Fedrizzi , Springer-Verlag , New York , 1988 , pp. 48 – 65 .
   Google Scholar
• D. Dubois and H. Prade , “ Default reasoning and possibility theory .” Artificial Intelligence , 38 , 1988 , 243 – 257 .
   Google Scholar
• D. Dubois and H. Prade , Possibility Theory . Plenum Press , New York , 1988 .
   Google Scholar
• D. Dubois and H. Prade , “ Modeling uncertainty and inductive inference A survey of recent non-additive probability systems .” Acta Psychologica , 68 , 1988 , pp. 53 – 78 .
   Google Scholar
• D. Dubois and H. Prade , “ Fuzzy sets, probability and measurement .” European J. of Operational Research , 40 , 1989 , pp. 135 – 154 .
   Web of Science ®Google Scholar
• H. Farreny , H. Prade and E. Wyse , “ Approximate reasoning in a rule-based expert system using possibility theory .” Proceedings of the 10th IFIP World Congress . Dublin , 1986 .
   Google Scholar
• M. Friedman , M. Schneider and A. Kandel , “ The use of weighted fuzzy expected value (WFEV) in fuzzy expert systems .” Fuzzy Sets and Systems , 31 , 1989 , pp. 37 – 45 .
   Google Scholar
• T. D. Garvey , J. D. Lowrance and M. A. Fischler , “ An inference technique for integrating knowledge from disparate sources .” In Proceedings of the Seventh Joint Conference on Artificial Intelligence . AAAI , 24 – 28 August, 1981 .
   Google Scholar
• M. A. Gil , N. Corral and M. R. Casals , “ The likelihood ratio test for goodness of fit with fuzzy experimental observations .” IEEE Trans. on Systems, Man and Cybernetics , SMC-19 , 1989 , pp. 771 – 779 .
   Google Scholar
• M. L. Ginsberg , “ Multi-valued logics .” In Uncertainty and Expert Systems, AAAI . 1986 , pp. 243 – 247 .
   Google Scholar
• I. Goodman and H. T. Nguyen , Uncertainty Models for Knowledge Based Systems . North-Holland Publishing , New York , 1986 .
   Google Scholar
• J. Gordon and E. H. Shortliffe , “ A method for managing evidential reasoning in a hierarchical hypothesis space .” Artificial Intelligence , 26 , 1985 , pp. 323 – 357 .
   Web of Science ®Google Scholar
• M. A. S , Guth , “ Uncertainty analysis of rule based expert systems with Dempster-Shafer mass assignments .” International Journal of Intelligent Systems , 3 , 1988 , pp. 123 – 139 .
   Google Scholar
• P. R. Halmos , Measure Theory . D. Van Nostrand , Princeton , New Jersey , 1950 .
   Google Scholar
• E. Hisdal , “ Conditional possibilities, independence and non-interaction .” Fuzzy Sets and Systems , 1 , 1978 , pp. 283 – 297 .
   Google Scholar
• U. Hohle , “ A general theory of fuzzy plausibility measures .” J. Math. Anal. and Appl. , 127 , 1982 , pp. 346 – 364 .
   Google Scholar
• U. Höhle , “ A mathematical theory of uncertainty .” In Fuzzy Sets and Possibility Theory , edited by R. R. Yager , Pergamon Press , Oxford , 1982 .
   Google Scholar
• P. J. Huber , “ The use of Choquet capacities in statistics .” Bull. Inst. Stat. Inst. , 45 , no. 4 , 1973 , pp. 181 – 188 .
   Google Scholar
• P. J. Huber and V. Strassen , “ Minimax tests and the Neyman-Pearson lemma for capacities .” Annals of Statistics , 1 , 1973 , pp. 251 – 264 .
   Web of Science ®Google Scholar
• P. J. Huber , Robust Statistics . John Wiley & Sons , New York , 1980 , pp. 253 – 285 .
   Google Scholar
• D. L. Hudson and M. E. Cohen , “ Approaches to management of uncertainty in an expert system .” International Journal of Intelligent Systems , 3 , 1988 , pp. 45 – 58 .
   Google Scholar
• G. A. Hunt , “ Markoff processes and potentials I, II .” Illinois Journal of Mathematics , 1957 , pp. 44 – 93 , 316 – 362 .
   Google Scholar
• H. Ichihashi , H. Tanaka and K. Asai , “ An application of fuzzy integrals to multi-attribute decision problems ,In Proceedings of the First IFSA Congress , Palma de Mallorca , 1985 .
   Google Scholar
• H. Ichihashi , H. Tanaka and K. Asai , “ Fuzzy integrals based on pseudo-additions and multiplications .” Journal of Math. Anal. and Appl. , 130 , 1988 , pp. 352 – 364 .
   Google Scholar
• K. Ishi and M. Sugeno , “ A model of human evaluation process using fuzzy measure . International Journal of Man-Machine Studies , 22 , 1985 , pp. 19 – 38 .
   Google Scholar
• J. Kacprzyk and M. Fedrizzi , eds., Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making . Springer-Verlag , New York , 1988 .
   Google Scholar
• J. Kacprzyk and R. Yager , eds., Management Decision Support Systems Using Fuzzy Sets and Possibility Theory . Verlag TÜV Rheinland , Köln , 1985 .
   Google Scholar
• L. N. Kanal and J. F. Lemmer , eds., Uncertainty in Artificial Intelligence . North-Holland , New York , 1986 .
   Google Scholar
• A. Kandel , “ Theory and application of fuzzy statistics .” In Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making , edited by J. Kacprzyk and M. Fedrizzi , Springer-Verlag , New York , 1988 , pp. 89 – 112 .
   Google Scholar
• E. P. Klement and D. Ralescu , “ Nonlinearity of the fuzzy integral .” Fuzzy Sets and Systems , 11 , 1983 , pp. 309 – 315 .
   Google Scholar
• E. P. Klement , W. Schwyhla and R. Lowen , “ Fuzzy probability measures .” Fuzzy Sets and Systems , 5 , 1981 , 21 – 30 .
   Web of Science ®Google Scholar
• G. J. Klir and T. A. Folger , Fuzzy Sets, Uncertainty and Information . Prentice-Hall , New Jersey , 1988 .
   Google Scholar
• R. Kruse , “ On the construction of fuzzy measures .” Fuzzy Sets and Systems , 8 , 1982 , pp. 323 – 327 .
   Google Scholar
• R. Kruse , “ A Note on-Additive fuzzy measures .” Fuzzy Sets and Systems , 8 , 1982 , pp. 219 – 222 .
   Google Scholar
• R. Kruse and K. D. Meyer , Statistics with Vague Data . D. Reidel , Boston , 1987 .
   Google Scholar
• M. T. Lamata and S. Moral , “ Classification of fuzzy measures .” Fuzzy Sets and Systems , 33 , 1989 , pp. 243 – 253 .
   Google Scholar
• J. Lebailly , R. Martin-Clouaire and H. Prade , “ Use of fuzzy logic in a rule-based system in petroleum geology .” In Approximate Reasoning in Intelligent Decision and Control , edited by E. Sanchez and L. Zadeh , 1987 , pp. 13 – 144 .
   Google Scholar
• K. Leszcynshi , P. Penczek and W. Grochulski , “ Sugeno's fuzzy measure and fuzzy clustering .” Fuzzy Sets and Systems , 15 , 1985 , pp. 147 – 158 .
   Google Scholar
• Li Chumming , “ The convergence of measurable function sequence on the possibility measure space .” Atti del 2° Convegno International La Maatematica dei Sistemi Fuzzy . Napoli , 1985 , pp. 57 – 62 .
   Google Scholar
• Li Shoumei , “ S-measure and its extension .” J. of Hebei University , 4 , 1987 , pp. 82 – 89 ( in Chinese ).
   Google Scholar
• Liu GuitangWang Zhenyuan, “ Extension theorem of consonant belief functions .” Kexue Tonbag , 9 , 1985 , pp. 718 – 719 ( in Chinese ).
   Google Scholar
• Ma Jifeng , “ (IP) integrals .” J. of Engineering Mathematics , 2 , 1984 , pp. 169 – 170 ( in Chinese ).
   Google Scholar
• P. Magrez and P. Smets , “ Epistemic necessity, possibility, and truth. Tools for dealing with imprecision and uncertainty in fuzzy-knowledge based systems .” International Journal of Approximate Reasoning , 3 , 1989 , pp. 33 – 57 .
   Google Scholar
• P. Magrez and P. Smets , “ Fuzzy modus ponens “ A new model suitable for applications in knowledge-based systems .” International Journal of Intelligent Systems , 1989 , pp. 181 – 200 .
   Google Scholar
• R. Martin-Clouaire and H. Prade , “ SPII A simple inference engine capable of accommodating both imprecision and uncertainty .” In Computer Assisted Decision Making . North-Holland , Amsterdam , 1986 , pp. 117 – 131 .
   Google Scholar
• R. Martin-Clouaire , “ Semantics and computations of the generalized modus ponens The long paper .” International Journal of Approximate Reasoning , 3 , 1989 , pp. 195 – 217 .
   Google Scholar
• G. Matheron , Random Sets and Integral Geometry . John Wiley , New York , 1975 .
   Google Scholar
• T. Murofushi and M. Sugeno , “ An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure .” Fuzzy Sets and Systems , 29 , 1989 , pp. 201 – 227 .
   Web of Science ®Google Scholar
• H. T. -Nguyen , “ On conditional possibility distributions .” Fuzzy Sets and Systems , 1 , 1978 , pp. 299 – 309 .
   Google Scholar
• H. T. Nguyen , “ On random sets and belief functions .” J. Math. Anal. and Appl. , 65 , 1978 , pp. 531 – 542 .
   Google Scholar
• A. M. Norwich and I. B. Turksen , “ The construction of membership functions .” In Fuzzy Sets and Possibility Theory , edited by R. R. Yager , Pergamon , New York . 1982 , pp. 61 – 67 .
   Google Scholar
• A. M. Norwich and I. B. Turksen , “ A model for the measurement of membership and the consequences of its empirical implementation .” Fuzzy Sets and Systems , 12 , 1984 , pp. 1 – 25 .
   Web of Science ®Google Scholar
• H. Ogawa , K. S. Fu and J. T. P. Yao , “ An inexact inference for damage assessment of existing structures .” International Journal of Man-Machine Studies , 22 , 1985 , pp. 295 – 306 .
   Google Scholar
• T. Onisawa , M. Sugeno , Y. Nishiwaki , H. Kawai and Y. Harima , “ Fuzzy measure analysis of public attitude towards the use of nuclear energy .” Fuzzy Sets and Systems , 20 , 1986 , pp. 259 – 289 .
   Web of Science ®Google Scholar
• K. A. Pal , “ Decision-making through fuzzy measures .” In Approximate Reasoning in Expert Systems , edited by M. M. Gupta et al. , North-Holland , New York , 1985 , pp. 179 – 194 .
   Google Scholar
• W. Pedrycz and K. Hirota , “ Probabilistic sets in classification and pattern matching .” In Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making , edited by J. Kacprzyk and M. Fedrizzi , Springer-Verlag , New York , 1988 , pp. 342 – 352 .
   Google Scholar
• K. Piasecki , “ Fuzzy f-measure on the real line .” Fuzzy Sets and Systems , 22 , 1987 , pp. 271 – 287 .
   Google Scholar
• M. L. Puri and D. Ralescu , “ A possibility measure is not a fuzzy measure .” Fuzzy Sets and Systems , 7 , 1982 , pp. 311 – 313 .
   Web of Science ®Google Scholar
• Qiao Zhong , “ Fuzzy integrals on L-fuzzy sets and their properties .” BUSEFAL , ( to appear ).
   Google Scholar
• Qiao Zhong , “ On fuzzy integral on L-fuzzy sets .” Fuzzy Sets and Systems , ( to appear ).
   Google Scholar
• Qiao Zhong , “ On fuzzy measure and fuzzy integral on fuzzy set .” Fuzzy Sets and Systems , ( to appear ).
   Google Scholar
• Qiao Zhong , “ Riesz's theorem and Lebesgue's theorem on the fuzzy measure space .” BUSEFAL , 29 , 1987 , pp. 33 – 41 .
   Google Scholar
• Qiao Zhong , “ The fuzzy integral and the convergence theorems .” BUSEFAL , 31 , 1987 , pp. 73 – 83 .
   Google Scholar
• Qiao Zhong , “ The extensions of a class of semi-continuous fuzzy measures .” BUSEFAL , 33 , 1988 , pp. 86 – 94 .
   Google Scholar
• Qiao Zhong , “ On the extension of possibility measures .” Fuzzy Sets and Systems , 32 , 1989 , pp. 315 – 320 .
   Google Scholar
• D. Ralescu and G. Adams , “ The fuzzy integral .” J. Math. Anal. and Appl. , 75 , 1980 , pp. 562 – 570 .
   Web of Science ®Google Scholar
• A. Ramer , “ Conditional possibility measures .” Cybernetics and Systems , 20 , 1989 , pp. 233 – 247 .
   Web of Science ®Google Scholar
• A. Seif and J. Aguilar-Martin , “ Multi-group correlation using fuzzy correlation .” Fuzzy Sets and Systems , 3 , 1980 , pp. 109 – 122 .
   Google Scholar
• G. Shafer , A Mathematical Theory of Evidence . Princeton University Press , New Jersey , 1976 .
   Google Scholar
• G. Shafer , “ Belief functions and possibility measures .” In Analysis of Fuzzy Information , Vol. II , edited by J. C. Bezdek , CRC Press , Boca Raton , Fla ., 1987 , pp. 51 – 83 .
   Google Scholar
• G. Shafer , P. P. Shenoy and K. Mellouli , “ Propagating belief functions in qualitative Markov trees .” International Journal of Approximate Reasoning , 1 , 1987 , pp. 349 – 400 .
   Google Scholar
• J. R. Sims , “ Representations and transforms of frizzy measures .” Unpublished , December 1989 .
   Google Scholar
• J. R. Sims , “ Application of fuzzy mathematics to multi-causal diagnosis .” Unpublished , December 1989 .
   Google Scholar
• J. R. Sims , “ Application of fuzzy measures to project selection in hierarchically organized firms .” Unpublished Working Paper , January 1990 .
   Google Scholar
• P. Smets , “ The degree of belief in a fuzzy event .” Information Sciences , 25 , 1981 , pp. 1 – 19 .
   Web of Science ®Google Scholar
• P. Smets , “ Probability of a fuzzy event “ An axiomatic approach .” Fuzzy Sets and Systems , 7 , 1982 , pp. 153 – 164 .
   Google Scholar
• Song Renmeng , “ On the (N)fuzzy integral .” BUSEFAL , 17 , 1984 , pp. 26 – 35 .
   Google Scholar
• M. Squillante and A. G. S. Ventre , “ Representations of the fuzzy integral .” Fuzzy Sets and Systems , 29 , 1989 , 165 – 169 .
   Google Scholar
• W. E. Stein and K. Talati , “ Convex fuzzy variables .” Fuzzy Sets and Systems , 6 , 1981 , pp. 271 – 283 .
   Web of Science ®Google Scholar
• V. Strassen , “ Messfehler und information .” Zeilschrift für Wahrscheinlichkeitstheorie und Verve . Gebeite , 2 , 1964 , pp. 273 – 305 .
   Google Scholar
• V. Strassen , “ The existence of probability measures with given marginals .” Ann. Math. Stat. , 36 , 1965 , pp. 423 – 439 .
   Google Scholar
• M. Sugeno , Theory of Fuzzy Integrals and its Application . Ph.D. dissertation , Tokyo Institute of Technology , 1974 .
   Google Scholar
• M. Sugeno , “ Fuzzy measures and fuzzy integrals-A survey .” In Fuzzy Automata and Decision Processes , edited by M. M. Gupta et al. , North-Holland , New York , 1977 , pp. 89 – 102 .
   Google Scholar
• M. Sugeno and T. Terano , “ Analytic representations of fuzzy systems .” In Fuzzy Automata and Decision Processes , edited by M. M. Gupta et al , North-Holland , New York , 1977 , pp. 177 – 189 .
   Google Scholar
• M. Sugeno and T. Murofushi , “ Pseudo-additive measures and integrals .” J. Math. Anal. and Appl. , 122 , 1987 , pp. 197 – 222 .
   Google Scholar
• M. Sugeno and R. Terano , “ A model of learning based on fuzzy information .” Kybernetes , 6 , 1977 , pp. 157 – 166 .
   Google Scholar
• Sun Qinghe and Wang Zhenyuan , “ On the autocontinuity of fuzzy measures .” In Cybernetics and Systems ’ 88 , edited by R. Trappl , Kluwer , 1988 , pp. 717 – 721 .
   Google Scholar
• P. Suppes Zanotti , “ On using random relations to generate upper and lower probabilities .” Synthese , 36 , 1977 , pp. 427 – 440 .
   Google Scholar
• H. Suzuki , “ On fuzzy measures defined by fuzzy integrals .” J. Math. Anal. and Appl. , 132 , 1988 , pp. 87 – 101 .
   Google Scholar
• T. Terano and M. Sugeno , “ Macroscopic optimization using conditional fuzzy measures .” In Fuzzy Automata and Decision Processes , edited by M. Gupta et al. , North-Holland , New York , 1977 , pp. 197 – 208 .
   Google Scholar
• P. Walley , Statistical Reasoning with Imprecise Probabilities . Chapman and Hall , London , 1987 .
   Google Scholar
• P. Walley , “ Belief function representations of statistical evidence .” Annals of Statistics , 15 , no. 4 , 1987 , pp. 1439 – 1465 .
   Web of Science ®Google Scholar
• E. L. Waltz and D. M. Buede , “ Data fusion and decision support for command and control .” IEEE Trans. on Systems, Man and Cybernetics , SMC-16 , 1986 , pp. 865 – 879 .
   Google Scholar
• Wang Pei-Zhuang , “ Treating a fuzzy subset as a projectable random subset .” In Fuzzy Information and Decision Processes , edited by M. M. Gupta and E. Sanchez , North-Holland , Amsterdam , 1982 , pp, 213 – 219 .
   Google Scholar
• Wang Zhenyuan , “ Absolute continuity and extension of fuzzy measures .” Fuzzy Sets and Systems , ( to appear ).
   Google Scholar
• Wang Zhenyuan , “ On the null-additivity and autocontinuity .” BUSEFAL , ( to appear ).
   Google Scholar
• Wang Zhenyuan , “ Structural characteristics of fuzzy measures on S-compact spaces .” International Journal of General Systems , ( in print ).
   Google Scholar
• Wang Zhenyuan , “ Une Classe de Mesures Floues—les Quasi-Mesures ,” BUSEFAL , 6 , 1981 .
   Google Scholar
• Wang Zhenyuan , “ On the convergence of sequence of measurable functions on the fuzzy measure space .” BUSEFAL , 9 , 1982 , pp. 27 – 30 .
   Google Scholar
• Wang Zhenyuan , “ Quasi-probability and the structure of g± fuzzy measure .” J. of Hebei U. , 1983 , pp. 79 – 83 .
   Google Scholar
• Wang Zhenyuan , “ Autocontinuity of a set function and fuzzy integral .” J. Math. Anal. and Appl. , 99 , 1984 , pp. 193 – 218 .
   Google Scholar
• Wang Zhenyuan , “ On the extension of possibility measures .” BUSEFAL , 18 , 1984 , pp. 26 – 32 .
   Google Scholar
• Wang Zhenyuan , “ A note on the convergence theorem of fuzzy integral sequence .” Fuzzy Mathematics , 4 , 1985 , pp. 7 – 10 .
   Google Scholar
• Wang Zhenyuan , “ Asymptotic structural characteristics of fuzzy measures and their applications .” Fuzzy Sets and Systems , 16 , 1985 , pp. 277 – 290 .
   Google Scholar
• Wang Zhenyuan , “ Extension of consonant belief functions defined on an arbitrary non-empty class of sets .” In Publication 54 de la Groupe de Reckerehe Claude Francois Picard . C.N.R.S . France , 1985 , pp. 61 – 65 .
   Google Scholar
• Wang Zhenyuan , “ Extension of possibility measures defined on an arbitrary non-empty class of sets .” In Proceedings of the First IFSA Congress , Palma de Mallorca , 1985 .
   Google Scholar
• Wang Zhenyuan , “ Fuzzy integral and fuzzy convolution .” J. of Engineering Mathematics , 1 , 1985 , pp. 101 – 110 .
   Google Scholar
• Wang Zhenyuan , “ Semi-lattice isomorphism of the extensions of possibility measure and solution of fuzzy relational equations .” In Cybernetics and Systems ‘86 , edited, by R. Trappl , Reidel , 1986 , pp. 561 – 583 .
   Google Scholar
• Wang Zhenyuan , “ Fuzzy convolution of fuzzy distributions on group .” In Analysis of Fuzzy Information, I , edited by J. Bezdek , 1985 , pp. 97 – 103 .
   Google Scholar
• Wang Zhenyuan , “ Absolute continuity and extension of fuzzy measures .” BUSEFAL , 30 , 1987 .
   Google Scholar
• Wang Zhenyuan , “ Fuzzy integral on fuzzy set .” BUSEFAL , 36 , 1988 , pp. 30 – 38 .
   Google Scholar
• Wang Zhenyuan , “ On the null-additivity and autocontinuity of fuzzy measure .” BUSEFAL , 37 , 1989 .
   Google Scholar
• Wang Zhenyuan and Li Fachao , “ Application of fuzzy integral in synthetical evaluations .” Fuzzy Mathematics , 1 , 1985 , pp. 109 – 114 , ( in Chinese ).
   Google Scholar
• Wang Zhenyuan and Qiao Zhong , “ Transformation theorems for fuzzy integrals on fuzzy sets .” Fuzzy Sets and Systems , 34 , 1990 , pp. 355 – 364 .
   Google Scholar
• Wang Zhenyuan and Zhang Guoli , “ Fuzzy integral on fuzzy set .” BUSEFAL , 36 , 1988 , pp. 109 – 114 .
   Google Scholar
• Wang Zhenyuan and Zhang Zhipeng , “ Extension theorem of generalized possibility measures .” Kexue Tonghag , 15 , 1984 , p. 959 ( in Chinese ).
   Google Scholar
• Wu Conxin and Ma Ming , “ Some properties of fuzzy integrable function space L1(μ) Fuzzy Sets and Systems , 31 , 1989 , pp. 397 – 400 .
   Google Scholar
• S. Weber , “ Measures of fuzzy sets and measures of fuzziness .” Fuzzy Sets and Systems , 13 , 1984 , pp. 247 – 271 .
   Web of Science ®Google Scholar
• S. Weber , “ Decomposable measures and integrals for Archimedean f-conorms .” J. Math. Anal. and Appl. , 101 , 1984 , pp. 114 – 138 .
   Web of Science ®Google Scholar
• S. Weber , “ Measure theory for fuzzy sets based on Archimedean t-conorms .” In Proceedings of the First IFSA Congress . Palma de Mallorca , 1985 .
   Google Scholar
• S. Weber , “ Two integrals and some modified versions-Critical remarks .” Fuzzy Sets and Systems , 20 , 1986 , pp. 97 – 105 .
   Google Scholar
• S. T. Wierzchon . “ On fuzzy measure and fuzzy integral .” In Fuzzy Information and Decision Processes , edited by M. M. Gupta and E. Sanchez , North-Holland , 1982 , pp. 79 – 86 .
   Google Scholar
• S. T. Wierzchon . “ An algorithm for identification of fuzzy measures .” Fuzzy Sets and Systems , 9 , 1983 , pp. 69 – 78 .
   Google Scholar
• R. R. Yager , ed., Fuzzy Set and Possibility Theory . Pergamon , New York , 1982 .
   Google Scholar
• R. R. Yager , “ Generalized probabilities of fuzzy events from belief structures .” Information Sciences , 28 , 1982 , pp. 45 – 62 .
   Web of Science ®Google Scholar
• R. R. Yager , “ Approximate reasoning as a basis for rule-based expert systems .” IEEE Trans. on Systems, Man and Cybernetics , SMC-14 , 1984 , pp. 636 – 643 .
   Google Scholar
• R. R. Yager , “ A general approach to decision making with evidential knowledge .” In Uncertainty in Artificial Intelligence , edited by L. N. Kanal and J. P. Lemmer , Elsevier , Amsterdam , 1986 , pp. 317 – 327 .
   Google Scholar
• R. R. Yager , “ On the Dempster-Shafer framework and new combination rules .” Information Sciences , 41 , 1987 , pp. 93 – 137 .
   Web of Science ®Google Scholar
• R. R. Yager , “ A generalized view of nonmonotic knowledge “ A set theoretic perspective .” International Journal of General Systems , 14 , 1988 , pp. 251 – 265 .
   Web of Science ®Google Scholar
• R. R. Yager , “ The representation of common sense knowledge by possibilistic reasoning .” International Journal of Man-Machine Studies , 31 , 1989 , pp. 587 – 610 .
   Google Scholar
• Yang Qingji , “ The pan-integral on the fuzzy measure space .” Fuzzy Mathematics , 3 , 1985 , pp. 107 – 114 ( in Chinese ).
   Google Scholar
• Yang Qingji and Song Renming , “ Further discussion on the pan-integral .” Fuzzy Mathematics , 4 , 1985 , pp. 27 – 36 ( in Chinese ).
   Google Scholar
• J. Yen , “GERTIS “ A Dempster-Shafer approach to diagnosing hierarchical hypotheses .” Comm. ACM , 32 , 1989 , pp. 573 – 585 .
   Web of Science ®Google Scholar
• L. A. Zadeh , “ Fuzzy sets .” Information and Control , 8 , 1965 , pp. 338 – 353 .
   Web of Science ®Google Scholar
• L. A. Zadeh , “ Probability measures of fuzzy events .” Journal of Math. Anal. and Appl. , 23 , 1968 , pp. 421 – 427 .
   Web of Science ®Google Scholar
• L. A. Zadeh , “ Fuzzy logic and approximate reasoning .” Synthese , 30 , 1975 , pp. 407 – 428 .
   Google Scholar
• L. A. Zadeh , “ Fuzzy sets as a basis for a theory of possibility .” Fuzzy Sets and Systems , 1 , 1978 , pp. 3 – 28 .
   Google Scholar
• L. A. Zadeh . “ On the validity of Dempster's rule of combination of evidence .” ERL. Memorandum M79I24 . University of California , Berkeley , 1979 .
   Google Scholar
• L. A. Zadeh , “ A computational theory of dispositions .” International Journal of Intelligent Systems , 2 , 1987 , pp. 39 – 63 .
   Web of Science ®Google Scholar
• M. Zemankova and A. Kandel , Fuzzy Relational Databases—A Kev to Expert Systems . Verlag TÜV Rheinland , Köln , 1984 .
   Google Scholar
• Zhang Guangquan , “ The extension of a class of SC-fuzzy measures .” J. Hebei University , 3 , 1987 , pp. 11 – 17 ( in Chinese ).
   Google Scholar
• Zhang Guangquan , “ Semi-lattice structure of all extensions of possibility measure on consonant belief function on fuzzy set .” BUSEFAL , 33 , 1988 , pp. 95 – 103 .
   Google Scholar
• Zhao Ruhuai , “ Transformation theorem of Sugenos fuzzy integral .” Kexue Tonbag , 1 , 1984 , pp. 5 – 7 (in Chinese).
   Google Scholar
• B. P. Zeigler , “ Some properties of modified Dempster-Shafer operators in rule based inference systems .” International Journal of General Systems , 14 , 1988 , pp. 345 – 356 .
   Web of Science ®Google Scholar
• R. Zwick , “ Combining stochastic uncertainty and linguistic inexactness Theory and experimental evaluations of four fuzzy probability models .” International Journal of Man-Machine Studies , 30 , 1989 , pp. 69 – 111 .
   Google Scholar