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Fuzzy power sets and fuzzy implication operators
Fuzzy Sets and Systems, 1980The theory of fuzzy power sets, which has hitherto been insufficiently developed, is shown very naturally to require the use of a fuzzy implication operator (Section 1). Six such operators are gathered from the literature on multiple-valued logic (Section 2), and their effects on fuzzy power-set theory are compared throughout the rest of the paper ...
Bandler, Wyllis, Kohout, Ladislav
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Knowledge-Based Systems, 2013
The aim of this paper is to provide the semantical and syntactical characteristics of fuzzy decision implications, an expression concerning two systems of fuzzy-sets. This Pavelka-style fuzzy logic starts from a fuzzy set of fuzzy decision implications and makes deductions from partially true decision implications.
Yanhui Zhai, Deyu Li, Kaishe Qu
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The aim of this paper is to provide the semantical and syntactical characteristics of fuzzy decision implications, an expression concerning two systems of fuzzy-sets. This Pavelka-style fuzzy logic starts from a fuzzy set of fuzzy decision implications and makes deductions from partially true decision implications.
Yanhui Zhai, Deyu Li, Kaishe Qu
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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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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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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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Fuzzy Implications Generating from Fuzzy Negations
2018A basic building block in the foundation of fuzzy neural networks is the theory of fuzzy implications. Fuzzy implications play a crucial role in this topic. The aim of this paper is to find a new method of generating fuzzy implications. based on a given fuzzy negation.
Georgios Souliotis, Basil Papadopoulos
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Klir-Yuan Fuzzy Implication in Fuzzy Relations
2019 International Conference on Control, Artificial Intelligence, Robotics & Optimization (ICCAIRO), 2019Klir-Yuan fuzzy implication, as fuzzy implication generated from the standard strong fuzzy negation, the probabilistic sum t-conorm, and the product t-norm, represents a classical example of QL-implication, where QL-implications are the short for quantum logic fuzzy implications.
Sanela Nesimovic, Dzenan Gusic
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