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International Journal of General Systems Volume 32, 2003 - Issue 2
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Original Articles

Foundations of fuzzy functions and vague algebra based on many-valued equivalence relations, part I: fuzzy functions and their applications

Mustafa Demirci*Correspondence[email protected]
Pages 123-155 | Received 11 Feb 2002, Accepted 30 Dec 2002, Published online: 17 Oct 2011

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Mustafa Demirci. (2020) On the representations of L-equivalence relations on L-fuzzy sets with applications to locally vague environments. International Journal of General Systems 49:3, pages 334-354.
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Mustafa Demirci. (2003) Indistinguishability operators in measurement theory, Part II: Construction of indistinguishability operators based on probability distributions . International Journal of General Systems 32:5, pages 431-458.
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Mustafa Demirci. (2003) Indistinguishability operators in measurement theory, Part I: Conversions of indistinguishability operators with respect to scales . International Journal of General Systems 32:5, pages 415-430.
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Mustafa Demirci. (2003) Foundations of fuzzy functions and vague algebra based on many-valued equivalence relations, part III: constructions of vague algebraic notions and vague arithmetic operations . International Journal of General Systems 32:2, pages 177-201.
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Mustafa Demirci. (2003) Foundations of fuzzy functions and vague algebra based on many-valued equivalence relations, part II: vague algebraic notions . International Journal of General Systems 32:2, pages 157-175.
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Jorge Jimenez, María Luisa Serrano, Branimir Šešelja & Andreja Tepavčević. (2023) Omega Ideals in Omega Rings and Systems of Linear Equations over Omega Fields. Axioms 12:8, pages 757.
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Jorge Jimenez, María Luisa Serrano, Branimir Šešelja & Andreja Tepavčević. (2022) Omega-rings. Fuzzy Sets and Systems.
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Chang-Jie Zhou & Wei Yao. (2022) Q-orders with no unit on Q. Journal of Intelligent & Fuzzy Systems 42:3, pages 2309-2316.
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Martina Daňková. (2021) Functional Partial Fuzzy Relations. Mathematics 9:18, pages 2191.
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Armand Fotso Tatuene & Marcel Tonga. (2021) On the lattice and the algebra of fuzzy subsets of a universal algebra. Fuzzy Sets and Systems 418, pages 1-24.
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Branimir Šešelja & Andreja Tepavčević. (2020) Ω-groups in the language of Ω-groupoids. Fuzzy Sets and Systems 397, pages 152-167.
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Omar Barkat, Lemnaouar Zedam & Bernard De Baets. (2019) On the Compatibility of a Ternary Relation with a Binary Fuzzy Relation. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 27:04, pages 595-612.
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Mustafa Demirci. (2019) L-equivalence relations on L-fuzzy sets, L-partitions of L-fuzzy sets and their one-to-one connections. International Journal of Approximate Reasoning 111, pages 21-34.
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Aleksandar Krapež, Branimir Šešelja & Andreja Tepavčević. (2019) Solving linear equations by fuzzy quasigroups techniques. Information Sciences 491, pages 179-189.
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Rongrong Wang & Shengwei Han. (2019) Prime (distributive) fuzzy posets. Journal of Intelligent & Fuzzy Systems 36:6, pages 5513-5520.
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Lemnaouar Zedam, Hassane Bouremel & Bernard De Baets. (2019) Left- and right-compatibility of order relations and fuzzy tolerance relations. Fuzzy Sets and Systems 360, pages 65-81.
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Elijah Eghosa Edeghagba, Branimir Šešelja & Andreja Tepavčević. (2017) Ω-Lattices. Fuzzy Sets and Systems 311, pages 53-69.
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Bernard De Baets, Lemnaouar Zedam & Azzedine Kheniche. (2016) A clone-based representation of the fuzzy tolerance or equivalence relations a strict order relation is compatible with. Fuzzy Sets and Systems 296, pages 35-50.
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Branka Budimirović, Vjekoslav Budimirović, Branimir Šešelja & Andreja Tepavčević. (2016) E-fuzzy groups. Fuzzy Sets and Systems 289, pages 94-112.
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A. Kheniche, B. De Baets & L. Zedam. (2016) Compatibility of Fuzzy Relations. International Journal of Intelligent Systems 31:3, pages 240-256.
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Branimir Šešelja & Andreja Tepavčević. (2015) L-E-Fuzzy Lattices. International Journal of Fuzzy Systems 17:3, pages 366-374.
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M. E. Della Stella & C. Guido. (2015) Functional Many-Valued Relations. Mathematica Slovaca 65:4, pages 891-921.
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Senqi Xu & Xinggao Liu. (2014) Melt index prediction by fuzzy functions with dynamic fuzzy neural networks. Neurocomputing 142, pages 291-298.
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Ivana Jančić. (2014) Weak bisimulations for fuzzy automata. Fuzzy Sets and Systems 249, pages 49-72.
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Branka Budimirović, Vjekoslav Budimirović, Branimir Šešelja & Andreja Tepavčević. (2014) Fuzzy identities with application to fuzzy semigroups. Information Sciences 266, pages 148-159.
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M. Zhang & X. Liu. (2013) Melt Index Prediction by Fuzzy Functions and Weighted Least Squares Support Vector Machines. Chemical Engineering & Technology 36:9, pages 1577-1584.
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Jelena Ignjatović, Miroslav Ćirić, Nada Damljanović & Ivana Jančić. (2012) Weakly linear systems of fuzzy relation inequalities: The heterogeneous case. Fuzzy Sets and Systems 199, pages 64-91.
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Branka Budimirovic, Vjekoslav Budimirovic, Branimir Seselja & Andreja Tepavcevic. (2012) Fuzzy equational classes. Fuzzy equational classes.
Mustafa Demirci. (2012) The order-theoretic duality and relations between partial metrics and local equalities. Fuzzy Sets and Systems 192, pages 45-57.
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Miroslav Ćirić, Jelena Ignjatović, Nada Damljanović & Milan Bašić. (2012) Bisimulations for fuzzy automata. Fuzzy Sets and Systems 186:1, pages 100-139.
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I. Burhan Türkşen. 2012. Computational Complexity. Computational Complexity 1274 1288 .
Wei Yao & Bin Zhao. (2011) Kernel systems on L-ordered sets. Fuzzy Sets and Systems 182:1, pages 101-109.
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Wei Yao. (2011) An approach to fuzzy frames via fuzzy posets. Fuzzy Sets and Systems 166:1, pages 75-89.
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M Bahar Başkır & I Burhan Türkşen. (2010) An uncertainty analysis of supplier selection by fuzzy logic. An uncertainty analysis of supplier selection by fuzzy logic.
W Tang, L Z Gu & H Guo. (2009) Computer-aided process planning based on automatic fuzzy comprehensive evaluation. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 224:6, pages 869-877.
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W. Tang & Li Zhi Gu. (2010) CAPP Based on Automatic Fuzzy Comprehensive Evaluation. Key Engineering Materials 426-427, pages 648-652.
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Jelena Ignjatović, Miroslav Ćirić & Stojan Bogdanović. (2009) Fuzzy homomorphisms of algebras. Fuzzy Sets and Systems 160:16, pages 2345-2365.
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Miroslav Ćirić, Jelena Ignjatović & Stojan Bogdanović. (2009) Uniform fuzzy relations and fuzzy functions. Fuzzy Sets and Systems 160:8, pages 1054-1081.
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I. Burhan Türkşen. (2009) Review of fuzzy system models with an emphasis on fuzzy functions. Transactions of the Institute of Measurement and Control 31:1, pages 7-31.
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J. Recasens. (2009) Maximal fuzzy maps. Information Sciences 179:1-2, pages 130-139.
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Branimir Šešelja & Andreja Tepavčević. 2009. Pattern Recognition and Machine Intelligence. Pattern Recognition and Machine Intelligence 134 139 .
I. Burhan Türkşen. 2023. Granular, Fuzzy, and Soft Computing. Granular, Fuzzy, and Soft Computing 77 95 .
I. Burhan Türkşen. 2009. Encyclopedia of Complexity and Systems Science. Encyclopedia of Complexity and Systems Science 4080 4094 .
I. Burhan Türkşen. (2008) Fuzzy functions with LSE. Applied Soft Computing 8:3, pages 1178-1188.
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I. Burhan Turksen. (2008) Mixed Fuzzy Functions. Mixed Fuzzy Functions.
Zhudeng Wang. (2007) TL-filters of integral residuated l-monoids. Information Sciences 177:3, pages 887-896.
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Mustafa Demirci & Zeynep Eken. (2007) An introduction to vague complemented ordered sets. Information Sciences 177:1, pages 150-160.
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KIRAN R. BHUTANI & JOHN N. MORDESON. (2011) SIMILARITY RELATIONS, VAGUE GROUPS, AND FUZZY SUBGROUPS. New Mathematics and Natural Computation 02:03, pages 195-208.
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Mustafa Demirci. (2005) Products of elements in vague semigroups and their implementations in vague arithmetic. Fuzzy Sets and Systems 156:1, pages 93-123.
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Mustafa Demirci. (2005) A theory of vague lattices based on many-valued equivalence relations—I: general representation results. Fuzzy Sets and Systems 151:3, pages 437-472.
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Mustafa Demirci. (2005) A theory of vague lattices based on many-valued equivalence relations—II: complete lattices. Fuzzy Sets and Systems 151:3, pages 473-489.
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Mustafa Demirci. 2003. Fuzzy Sets and Systems — IFSA 2003. Fuzzy Sets and Systems — IFSA 2003 159 166 .

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