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Properties of fuzzy implication operators
International Journal of Approximate Reasoning, 1987 AbstractIn this paper we discuss both forward implication and backward implication, and the difference between them is defined. We introduce some properties of fuzzy implication operators, and show the expectation, the variance, and the distribution of each fuzzy implication operator, assuming that the two propositions in a given compound proposition ...
Wyllis Bandler
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On an Intuitionistic Fuzzy Form of the Goguen’s Implication
Mathematics, 2021 In the present paper we construct a new intuitionistic fuzzy implication, giving intuitionistic fuzzy form to Goguen’s implication. Some of its basic properties are studied and illustrated with examples. Geometrical interpretations of the different forms
Krassimir Atanassov +2 more
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Third Zadeh’s Intuitionistic Fuzzy Implication
Mathematics, 2021 George Klir and Bo Yuan named after Lotfi Zadeh the implication p→q=max(1−p,min(p,q)) (also Early Zadeh implication). In a series of papers, the author introduced two intuitionistic fuzzy forms of Zadeh’s implication and studied their basic properties ...
Krassimir Atanassov
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International Journal of Approximate Reasoning, 1987 In order to build expert systems and other human-behaviour-like systems one needs reasoning schemes that are richer than the classical two-valued logic. This paper starts with a linguistic justification that intermediate degrees of truth are needed. Up to an isomorphism the unit interval [0,1] with its natural order is taken as the domain of possible ...
Philippe Smets
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Journal of Mathematics, 2021 In rule optimization, some rule characteristics were extracted to describe the uncertainty correlations of fuzzy relations, but the concrete numbers cannot express correlations with uncertainty, such as “at least 0.1 and up to 0.5.” To solve this problem,
Yiying Shi
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A Method of Generating Fuzzy Implications from n Increasing Functions and n + 1 Negations
Mathematics, 2020 In this paper, we introduce a new construction method of a fuzzy implication from n increasing functions g i : [ 0 , 1 ] → [ 0 , ∞ ) , ( g ( 0 ) = 0 ) ( i = 1 , 2 , … , n , n ∈ ℕ ) and n + 1 fuzzy negations
Maria N. Rapti, Basil K. Papadopoulos
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On Fuzzy Implication Functions Based on Admissible Orders on the Set of Discrete Fuzzy Numbers
International Journal of Computational Intelligence SystemsResearch on the construction of logical connectives using total (admissible) orders is a prolific area of study. Using such orders, a new method for constructing implication functions is defined on the set of discrete fuzzy numbers with support of a ...
Manuel González-Hidalgo +4 more
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New Fuzzy Implication Model Consisting Only of Basic Logical Fuzzy Connectives
AxiomsFuzzy implication models play a crucial role in the field of fuzzy logic. The reason behind this reality is the fact that fuzzy implications are influenced by the properties of the model used for their creation.
Stefanos Makariadis +3 more
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A new intuitionistic fuzzy implication and the negation, conjunctions and disjunctions generated by it [PDF]
Notes on IFS, 2023 A new – the 207-th – intuitionistic fuzzy implication is introduced over intuitionistic fuzzy sets. Over its basis, new intuitionistic fuzzy negation, conjunctions and disjunctions are constructed.
Lilija Atanassova
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Fuzzy Implication Operators Applied to Country Health Preparation
Transactions on Fuzzy Sets and SystemsWe use a new method to determine a fuzzy similarity measure using fuzzy implication operators. We use this method to determine the fuzzy similarity between the two rankings of countries involving health security and health care.
John Mordeson +2 more
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