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Aggregating fuzzy implications
Information Sciences, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Renata H.S. Reiser +2 more
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On the T-power Inverse Invariance Property on Fuzzy Implication Functions
IEEE International Conference on Fuzzy Systems, 2018Among the great bunch of additional properties which fuzzy implication functions may satisfy, the so-called invariance with respect to T-powers highlights due to its applications in approximate reasoning. This property ensures the invariance of the truth
M. Baczyński, S. Massanet, J. Torrens
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Fuzzy Sets Syst., 2020
Fuzzy implications play an important role in both theoretic and applied communities of fuzzy set theory. The well-known fuzzy implications are usually constructed in appropriate ways from t-norms, t-conorms and fuzzy negations, and according to ...
Hongjun Zhou, Xiao Liu
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Fuzzy implications play an important role in both theoretic and applied communities of fuzzy set theory. The well-known fuzzy implications are usually constructed in appropriate ways from t-norms, t-conorms and fuzzy negations, and according to ...
Hongjun Zhou, Xiao Liu
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Fuzzy Implication Methods in Fuzzy Logic
Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007), 2007The choice of fuzzy implication methods is a significant problem in the theoretical development of fuzzy set and approximate reasoning. Many operation methods on the fuzzy implication were presented. In this research, first we analyze the truth values of the traditional two valued logical implication using sets theory, propose a novel truth table of ...
Xiaodong Zhu +3 more
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2000
This paper describes algebraic properties of fuzzy implications family and provides formulas for new fuzzy implications with their classification. First, we describe the lattice of fuzzy implications and its sublattices. Next, we examine properties of contrapositive and selfconjugate fuzzy implications. Finite sublattices are depicted by Hasse diagrams.
Michał Baczyński, Józef Drewniak
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This paper describes algebraic properties of fuzzy implications family and provides formulas for new fuzzy implications with their classification. First, we describe the lattice of fuzzy implications and its sublattices. Next, we examine properties of contrapositive and selfconjugate fuzzy implications. Finite sublattices are depicted by Hasse diagrams.
Michał Baczyński, Józef Drewniak
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Flexibility Degree of Fuzzy Numbers and its Implication to a Group-Decision-Making Model
IEEE Transactions on Cybernetics, 2019The theory of fuzzy sets considers that everything exhibits some elasticity and is a matter of degree. When fuzzy numbers are used to evaluate the judgements of decision makers (DMs) in pairwise comparisons of alternatives following the analytic ...
Fang Liu, W. Pedrycz, Xinwang Liu
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Fuzzy implication operators and generalized fuzzy method of cases
Fuzzy Sets and Systems, 1993D. Ruan, E. Kerre
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A new class of fuzzy implications. Axioms of fuzzy implication revisited
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Türkşen, I. Burhan +2 more
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2018
Implications play an important role in fuzzy logics as they can be used both in practical and theoretical works. There exist many works in the literature where fuzzy implications behave in a crisp manner, i.e., implications that map to either zero or one.
Jocivania Pinheiro +3 more
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Implications play an important role in fuzzy logics as they can be used both in practical and theoretical works. There exist many works in the literature where fuzzy implications behave in a crisp manner, i.e., implications that map to either zero or one.
Jocivania Pinheiro +3 more
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A class of fuzzy implications obtained from triples of fuzzy implications
2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2017The aim of this work is to study the class I I, I1, I2 (U) of fuzzy implications obtained by a triple (I, I 1 , I 2 ) of fuzzy implications. Thus, this paper discusses under which conditions such functions preserve the main properties of fuzzy implications.
Renata Reiser +5 more
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