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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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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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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 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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ON A CLASS OF DISTRIBUTIVE FUZZY IMPLICATIONS
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2001We deal with the system of functional equations I(x,T(y,z))=T(I(x,y), I(x,z)), I(x,I(y,z))=I(T(x,y),z), where function T:[0,1]2→ [0,1] is a strict t-norm and I:[0,1]2→ [0,1] is an unknown function. Under some assumptions imposed on function I we obtain that I is almost conjugate with the Yager fuzzy implication.
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Fuzzy Implications in the Mizar System
2021 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2021This paper is a description of first steps towards providing the computer-supported formalization of a relatively recent textbook by Baczynski and Jarayam “Fuzzy Implications”. We present some of the issues connected with the use of Mizar-computerized proof assistant together with its extensive repository of mathematical texts checked for their logical
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Fuzzy positive implicative and fuzzy associative filters of lattice implication algebras
Fuzzy Sets and Systems, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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 +1 more
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On rational fuzzy implication functions
2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2016The proposal of new classes of fuzzy implication functions must take into account the final expression of the operator to be potentially used in a concrete application. In particular, fuzzy implication functions with simple expressions have low computational cost and they reduce the spreading of numerical errors.
Sebastia Massanet +2 more
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