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Fuzzy Sets and Systems, 2009
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Balasubramaniam Jayaram, Radko Mesiar
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Balasubramaniam Jayaram, Radko Mesiar
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FUZZY INCLUSION AND FUZZY SIMILARITY WITH GÖDEL FUZZY IMPLICATOR [PDF]
New Mathematics and Natural Computation, 2009 Fuzzy inclusion and fuzzy similarity are introduced as mappings which produce fuzzy sets constructed with the help of Gödel implicator. The properties of resulting fuzzy sets of inclusion and similarity are studied in detail. Some axiomatic characteristics for being fuzzy orders and fuzzy equivalence relations are also included.
ISMAT BEG, SAMINA ASHRAF
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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 0001, 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 0001, Kaishe Qu
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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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On Fuzzy Polynomial Implications
2014In this work, the class of fuzzy polynomial implications is introduced as those fuzzy implications whose expression is given by a polynomial of two variables. Some properties related to the values of the coefficients of the polynomial are studied in order to obtain a fuzzy implication.
Sebastia Massanet +2 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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A note on “On special fuzzy implications”
Fuzzy Sets and Systems, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Katarzyna Mis, Michal Baczynski 0001
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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 Survey on Fuzzy Implication Functions
IEEE Transactions on Fuzzy Systems, 2007One of the key operations in fuzzy logic and approximate reasoning is the fuzzy implication, which is usually performed by a binary operator, called an implication function or, simply, an implication. Many fuzzy rule based systems do their inference processes through these operators that also take charge of the propagation of uncertainty in fuzzy ...
Margarita Mas, Joan Torrens, M Monserrat
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