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AN ALGEBRAIC STRUCTURE FOR INTUITIONISTIC FUZZY LOGIC

2012
In this paper we extend the notion of degrees of membership and non-membership of intuitionistic fuzzy sets to lattices and introduce a residu- ated lattice with appropriate operations to serve as semantics of intuitionistic fuzzy logic. It would be a step forward to nd an algebraic counterpart for in- tuitionistic fuzzy logic.
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An algebraic fuzzy structure for approximate reasoning

Fuzzy Sets and Systems, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Algebraic Structure of Fuzzy Logics with Weakly Associative Conjunctors

2010
This research focuses on an algebraic structure of fuzzy logics equipped with weakly associative conjuctors. The authors show that the weak associativity of conjunctors should reduce to the associativity in such algebras with one conjuctor and two implicators as the conventional non-commutative fuzzy logics.
Mayuka F. Kawaguchi   +2 more
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The structural characteristics of the fuzzy number-valued fuzzy measure on the fuzzy σ-algebra and their applications

Fuzzy Sets and Systems, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Classifying through an algebraic fuzzy structure: The relevance of the attributes

International Journal of Intelligent Systems, 1995
An appropriate fuzzy structure was previously defined to generate appropriate classifications in a universe of discourse in which the characteristics of the elements are defined through attributes whose values are linguistic labels. the way the structure operates depends upon suitable operations on fuzzy attributes represented by fuzzy numbers. However,
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Algebraic Properties of Spherical Fuzzy Sets

Springer Proceedings in Mathematics and Statistics, 2023
Sunil Jacob John
exaly  

Fuzzy algebraic structures

Fuzzy Sets and Systems, 1991
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On Algebraic Structure of L-Fuzzy Bags.

Int. J. Intell. Syst., 2016
Fateme Kouchakinejad   +2 more
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Fuzzy sets and type 2 under algebraic product and algebraic sum

Fuzzy Sets and Systems, 1981
Masaharu Mizumoto
exaly  

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