Experimental analysis of multi-attribute decision-making based on Atanassov intuitionistic fuzzy sets: a discussion of anchor dependency and accuracy functions

References

• Ashtiani , B , Haghighirad , F , Makui , A and ali Montazer , G . 2009 . Extension of Fuzzy TOPSIS Method based on Interval-valued Fuzzy Sets . Applied Soft Computing , 9 : 457 – 461 .
   Web of Science ®Google Scholar
• Atanassov, K. (1983), ‘Intuitionistic Fuzzy Sets’, in Seventh Scientific Session of ITKR, Sofia, June (Dep. in CINTI, Nd 1697/84).
   Google Scholar
• Atanassov , KT . 1986 . Intuitionistic Fuzzy Sets . Fuzzy Sets and Systems , 20 : 87 – 96 .
   Web of Science ®Google Scholar
• Atanassov , K and Georgiev , C . 1993 . Intuitionistic Fuzzy Prolog . Fuzzy Sets and Systems , 53 : 121 – 128 .
   Web of Science ®Google Scholar
• Atanassov , K , Pasi , G and Yager , R . 2005 . Intuitionistic Fuzzy Interpretations of Multi-criteria Multi-person and Multi-measurement Tool Decision Making . International Journal of Systems Science , 36 : 859 – 868 .
   Web of Science ®Google Scholar
• Brockner , J and Higgins , ET . 2001 . Regulatory Focus Theory: Implications for the Study of Emotions at Work . Organizational Behavior and Human Decision Processes , 86 : 35 – 66 .
   Web of Science ®Google Scholar
• Bryson , N and Mobolurin , A . 1996 . An Action Learning Evaluation Procedure for Multiple Criteria Decision Making Problems . European Journal of Operational Research , 96 : 379 – 386 .
   Web of Science ®Google Scholar
• Burillo , P and Bustince , H . 1996 . Entropy on Intuitionistic Fuzzy Sets and on Interval-valued Fuzzy Sets . Fuzzy Sets and Systems , 78 : 305 – 316 .
   Web of Science ®Google Scholar
• Chang , CT . 2009 . A Goal Programming Approach for Fuzzy Multiobjective Fractional Programming Problems . International Journal of Systems Science , 40 : 867 – 874 .
   Web of Science ®Google Scholar
• Chen , C-T . 2000 . Extensions of the TOPSIS for Group Decision-making under Fuzzy Environment . Fuzzy Sets and Systems , 114 : 1 – 9 .
   Web of Science ®Google Scholar
• Cheng , C-T , Zhao , M-Y , Chau , KW and Wu , X-Y . 2006 . Using Genetic Algorithm and TOPSIS for Xinanjiang Model Calibration with a Single Procedure . Journal of Hydrology , 316 : 129 – 140 .
   Web of Science ®Google Scholar
• Chernev , A . 2004 . Goal Orientation and Consumer Preference for the Status Quo . Journal of Consumer Research , 31 : 557 – 565 .
   Web of Science ®Google Scholar
• De , SK , Biswas , R and Roy , AR . 2001 . An Application of Intuitionistic Fuzzy Sets in Medical Diagnosis . Fuzzy Sets and Systems , 117 : 209 – 213 .
   Web of Science ®Google Scholar
• Festinger , L . 1957 . A Theory of Cognitive Dissonance , New York : Harper and Row .
   Google Scholar
• Festinger , L . 1964 . Conflict, Decision and Dissonance , Stanford , CA : Stanford University Press .
   Google Scholar
• Higgins , ET , Shah , J and Friedman , R . 1997 . Emotional Responses to Goal Attainment: Strength of Regulatory Focus as Moderator . Journal of Personality and Social Psychology , 72 : 515 – 525 .
   PubMed Web of Science ®Google Scholar
• Hong , DH and Choi , CH . 2000 . Multi-criteria Fuzzy Decision-making Problems based on Vague Set Theory . Fuzzy Sets and Systems , 114 : 103 – 113 .
   Web of Science ®Google Scholar
• Huang , HI , Lin , CH and Ke , JC . 2008 . Two-unit Repairable Systems with Common-cause Shock Failures and Fuzzy Parameters: Parametric Programming Approach . International Journal of Systems Science , 39 : 449 – 459 .
   Web of Science ®Google Scholar
• Hwang , CL and Yoon , K . 1981 . Multiple Attribute Decision Making: Methods and Applications , Berlin/Heidelberg/New York : Springer-Verlag .
   Google Scholar
• Jahanshahloo , GR , Lotfi , HF and Izadikhah , M . 2006a . Extension of the TOPSIS Method for Decision-making Problems with Fuzzy Data . Applied Mathematics and Computation , 181 : 1544 – 1551 .
   Web of Science ®Google Scholar
• Jahanshahloo , GR , Lotfi , HF and Izadikhah , M . 2006b . An Algorithmic Method to Extend TOPSIS for Decision-making Problems with Interval Data . Applied Mathematics and Computation , 175 : 1375 – 1384 .
   Web of Science ®Google Scholar
• Kharal , A . 2009 . Homeopathic Drug Selection Using Intuitionistic Fuzzy Sets . Homeopathy , 98 : 35 – 39 .
   PubMed Web of Science ®Google Scholar
• Kuo , M-S , Liang , G-S and Huang , W-C . 2006 . Extensions of the Multicriteria Analysis with Pairwise Comparison under a Fuzzy Environment . International Journal of Approximate Reasoning , 43 : 268 – 285 .
   Web of Science ®Google Scholar
• Li , D-F . 2004 . Some Measures of Dissimilarity in Intuitionistic Fuzzy Structures . Journal of Computer and System Sciences , 68 : 115 – 122 .
   Web of Science ®Google Scholar
• Li , D-F . 2005 . Multiattribute Decision Making Models and Methods using Intuitionistic Fuzzy Sets . Journal of Computer and System Sciences , 70 : 73 – 85 .
   Web of Science ®Google Scholar
• Li , D-F . 2007a . Compromise Ratio Method for Fuzzy Multi-attribute Group Decision Making . Applied Soft Computing , 7 : 807 – 817 .
   Web of Science ®Google Scholar
• Li , D-F . 2007b . A Fuzzy Closeness Approach to Fuzzy Multi-attribute Decision Making . Fuzzy Optimization and Decision Making , 6 : 237 – 356 .
   Web of Science ®Google Scholar
• Li , D-F . 2008a . A Note on “Using Intuitionistic Fuzzy Sets for Fault-tree Analysis on Printed Circuit Board Assembly” . Microelectronics Reliability , 48 : 1741
   Web of Science ®Google Scholar
• Li , D-F . 2008b . Extension of the LINMAP for Multiattribute Decision Making under Atanassov's Intuitionistic Fuzzy Environment . Fuzzy Optimization and Decision Making , 7 : 17 – 34 .
   Web of Science ®Google Scholar
• Li , D-F . 2009 . Relative Ratio Method for Multiple Attribute Decision Making Problems . International Journal of Information Technology and Decision Making , 8 : 289 – 311 .
   Web of Science ®Google Scholar
• Li , D-F . 2010a . TOPSIS-based Nonlinear-programming Methodology for Multiattribute Decision Making with Interval-valued Intuitionistic Fuzzy Sets . IEEE Transactions on Fuzzy Systems , 18 : 299 – 311 .
   Web of Science ®Google Scholar
• Li , D-F . 2010b . Linear Programming Method for MADM with Interval-valued Intuitionistic Fuzzy Sets . Expert Systems with Applications , 37 : 5939 – 5945 .
   Web of Science ®Google Scholar
• Li , D-F , Chen , G-H and Huang , Z-G . 2010 . Linear Programming Method for Multiattribute Group Decision Making using IF Sets . Information Sciences , 180 : 1591 – 1609 .
   Web of Science ®Google Scholar
• Li , D-F and Cheng , C-T . 2002 . New Similarity Measures of Intuitionistic Fuzzy Sets and Application to Pattern Recognitions . Pattern Recognition Letters , 23 : 221 – 225 .
   Web of Science ®Google Scholar
• Li , YP and Huang , GH . 2007 . Fuzzy Two-stage Quadratic Programming for Planning Solid Waste Management Under Uncertainty . International Journal of Systems Science , 38 : 219 – 223 .
   Web of Science ®Google Scholar
• Li , D-F and Nan , J-X . 2009 . A Nonlinear Programming Approach to Matrix Games with Payoffs of Atanassov's Intuitionistic Fuzzy Sets . International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems , 17 : 585 – 607 .
   Web of Science ®Google Scholar
• Li , D-F and Wang , Y-C . 2008 . Mathematical Programming Approach to Multiattribute Decision Making Under Intuitionistic Fuzzy Environments . International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems , 16 : 557 – 577 .
   Web of Science ®Google Scholar
• Li , D-F , Wang , Y-C , Liu , S and Shan , F . 2009 . Fractional Programming Methodology for Multi-attribute Group Decision-making using IFS . Applied Soft Computing , 9 : 219 – 225 .
   Web of Science ®Google Scholar
• Liang , TF . 2007a . Project Management Decisions Using Fuzzy Linear Programming . International Journal of Systems Science , 37 : 1141 – 1152 .
   Web of Science ®Google Scholar
• Liang , TF . 2007b . Applying Fuzzy Goal Programming to Production/Transportation Planning Decisions in a Supply Chain . International Journal of Systems Science , 38 : 293 – 304 .
   Web of Science ®Google Scholar
• Liang , ZZ and Shi , PF . 2003 . Similarity Measures on Intuitionistic Fuzzy Sets . Pattern Recognition Letters , 24 : 2687 – 2693 .
   Web of Science ®Google Scholar
• Lin , YH , Lee , PC and Ting , HI . 2008 . Dynamic Multi-attribute Decision Making Model with Grey Number Evaluations . Expert Systems with Applications , 35 : 1638 – 1644 .
   Web of Science ®Google Scholar
• Lin , L , Yuan , X-H and Xia , Z-Q . 2007 . Multicriteria Fuzzy Decision-making Methods based on Intuitionistic Fuzzy Sets . Journal of Computer and System Sciences , 73 : 84 – 88 .
   Web of Science ®Google Scholar
• Liu , HW and Wang , GJ . 2007 . Multi-criteria Decision-making Methods based on Intuitionistic Fuzzy Sets . European Journal of Operational Research , 179 : 220 – 233 .
   Web of Science ®Google Scholar
• Lupiañez , FG . 2006 . Nets and Filters in Intuitionistic Fuzzy Topological Spaces . Information Sciences , 176 : 2396 – 2404 .
   Web of Science ®Google Scholar
• Mitchell , HB . 2003 . On the Dengfeng-Chuntian Similarity Measure and its Application to Pattern Recognition . Pattern Recognition Letters , 24 : 3101 – 3104 .
   Web of Science ®Google Scholar
• Opricovic , S and Tzeng , GH . 2004 . Compromise Solution by MCDM Methods: A Comparative Analysis of VIKOR and TOPSIS . European Journal of Operational Research , 156 : 445 – 455 .
   Web of Science ®Google Scholar
• Pham , MT and Avnet , T . 2004 . Ideals and Oughts and the Reliance of Affect Versus Substance in Persuasion . Journal of Consumer Research , 30 : 503 – 518 .
   Web of Science ®Google Scholar
• Samuelson , W and Zeckhauser , R . 1988 . Status Quo Bias in Decision Making . Journal of Risk and Uncertainty , 1 : 7 – 59 .
   Google Scholar
• Shu , MH , Cheng , CH and Chang , JR . 2006 . Using Intuitionistic Fuzzy Sets for Fault-tree Analysis on Printed Circuit Board Assembly . Microelectronics Reliability , 46 : 2139 – 2148 .
   Web of Science ®Google Scholar
• Szmidt , E and Kacprzyk , J . 2000 . Distances between Intuitionistic Fuzzy Sets . Fuzzy Sets and Systems , 114 : 505 – 518 .
   Web of Science ®Google Scholar
• Szmidt , E and Kacprzyk , J . 2006 . “ An Application of Intuitionistic Fuzzy Set Similarity Measures to a Multi-criteria Decision Making Problem ” . In ICAISC 2006. LNCS (LNAI) , Edited by: Rutkowski , L , Tadeusiewicz , R , Zadeh , LA and Zurada , JM . Vol. 4029 , 314 – 323 . Berlin/Heidelberg : Springer-Verlag .
   Google Scholar
• Taleizadeh , AA , Niaki , STA and Aryanezhad , MB . 2010 . Optimising Multi-product Multi-chance-constraint Inventory Control System with Stochastic Period Lengths and Total Discount Under Fuzzy Purchasing Price and Holding Costs . International Journal of Systems Science , 41 : 1187 – 1200 .
   Web of Science ®Google Scholar
• Tiryaki , F and Ahlatcioglu , M . 2005 . Fuzzy Stock Selection Using a New Fuzzy Ranking and Weighting Algorithm . Applied Mathematics and Computation , 170 : 144 – 157 .
   Web of Science ®Google Scholar
• Tversky , A and Kahneman , D . 1975 . Judgment under Uncertainty: Heuristics and Biases . Science , 185 : 1124 – 1131 .
   Web of Science ®Google Scholar
• Tversky , A and Kahneman , D . 1991 . Loss Aversion in Riskless Choice: A Reference-dependent Model . Quarterly Journal of Economics , 106 : 1039 – 1061 .
   Web of Science ®Google Scholar
• Wang , H-F . 2004 . Multicriteria Decision Analysis – From Certainty to Uncertainty , Ting Lung Book, Taiwan : Tsang Hai Book Publishing .
   Google Scholar
• Wang, M. (2007), ‘Fuzzy Multi-attribute Decision Making Under Interval Number’, in Proceedings of the Fourth International Conference on Fuzzy Systems and Knowledge Discovery, 0-7695-2874-0/07.
   Google Scholar
• Wang , Z , Li , KW and Wang , W . 2009a . An Approach to Multiattribute Decision Making with Interval-valued Intuitionistic Fuzzy Assessments and Incomplete Weights . Information Sciences , 179 : 3026 – 3040 .
   Web of Science ®Google Scholar
• Wang , S-Q , Li , D-F and Wu , Z-Q . 2009b . Generalized Ordered Weighted Averaging Operators Based Methods for MADM in Intuitionistic Fuzzy Set Setting . Journal of Systems Engineering and Electronics , 20 : 1247 – 1254 .
   Web of Science ®Google Scholar
• Xu , ZS . 2007 . Models for Multiple Attribute Decision Making with Intuitionistic Fuzzy Information . International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems , 15 : 285 – 297 .
   Web of Science ®Google Scholar
• Xu , ZS and Chen , J . 2007 . An Interactive Method for Fuzzy Multiple Attribute Group Decision Making . Information Sciences , 177 : 248 – 263 .
   Web of Science ®Google Scholar
• Xu , ZS and Yager , RR . 2008 . Dynamic Intuitionistic Fuzzy Multi-attribute Decision Making . International Journal of Approximate Reasoning , 48 : 246 – 262 .
   Web of Science ®Google Scholar
• Zeleny , M . 1982 . Multiple Criteria Decision Making , New York : McGraw-Hill .
   Google Scholar