Distributivity of implication operations over t-representable t-norms in interval-valued fuzzy set theory: the case of nilpotent t-norms
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Publication:498043
DOI10.1016/J.INS.2013.06.013zbMath1326.03064OpenAlexW2031684494MaRDI QIDQ498043
Publication date: 25 September 2015
Published in: Information Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ins.2013.06.013
functional equationintuitionistic fuzzy setdistributivitytriangular normfuzzy implicationinterval-valued fuzzy set
Related Items (7)
\((\mathtt{f}_{\mathtt{I}}, \omega)\)-implications and distributivity of implications on \(\mathcal{L}\) over t-representable t-norms: the case of strict and nilpotent t-norms ⋮ The distributive laws of fuzzy implications over overlap and grouping functions ⋮ Distributivity of Implication Functions over Decomposable Uninorms Generated from Representable Uninorms in Interval-Valued Fuzzy Sets Theory ⋮ Constructive methods for intuitionistic fuzzy implication operators ⋮ On \((G, N)\)-implications derived from grouping functions ⋮ Distributivity between semi-t-operators and Mayor's aggregation operators ⋮ Homomorphisms on the monoid of fuzzy implications and the iterative functional equation \(I(x, I(x, y)) = I(x, y)\)
Cites Work
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- Robustness of interval-valued fuzzy inference
- The standard completeness of interval-valued monoidal t-norm based logic
- \(K\)-operators: an approach to the generation of interval-valued fuzzy implications from fuzzy implications and vice versa
- Uninorms which are neither conjunctive nor disjunctive in interval-valued fuzzy set theory
- Terminological difficulties in fuzzy set theory -- the case of ``intuitionistic fuzzy sets
- Construction of fuzzy indices from fuzzy DI-subsethood measures: application to the global comparison of images
- Distributivity of residual implications over conjunctive and disjunctive uninorms
- Fuzzy implications
- On the distributivity of fuzzy implications over continuous and Archimedean triangular conorms
- On interval fuzzy negations
- A method of inference in approximate reasoning based on interval-valued fuzzy sets
- Mathematical analysis of interval-valued fuzzy relations: Application to approximate reasoning
- Triangular norms
- Properties of Atanassov's intuitionistic fuzzy relations and Atanassov's operators
- On the relationship between some extensions of fuzzy set theory
- Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application
- On interval fuzzy S-implications
- Rule reduction for efficient inferencing in similarity based reasoning
- A constructive method for the definition of interval-valued fuzzy implication operators
- A hybrid learning algorithm for a class of interval type-2 fuzzy neural networks
- Design of interval type-2 fuzzy sliding-mode controller
- Interval representations, Łukasiewicz implicators and Smets-Magrez axioms
- Complete solution sets of inf-\(\to\) interval-valued fuzzy relation equations
- Distributivity of Implication Operations over t-Representable T-Norms Generated from Nilpotent T-Norms
- On the Distributivity of Implication Operations over t-Representable t-Norms Generated from Strict t-Norms in Interval-Valued Fuzzy Sets Theory
- ON A CLASS OF DISTRIBUTIVE FUZZY IMPLICATIONS
- Semantics of implication operators and fuzzy relational products
- THE FUNDAMENTALS OF FUZZY MATHEMATICAL MORPHOLOGY PART 1: BASIC CONCEPTS
- Outline of a New Approach to the Analysis of Complex Systems and Decision Processes
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