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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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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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Robustness of Interval-Valued Intuitionistic Fuzzy Reasoning Quintuple Implication Method
IEEE Access, 2022 The interval-valued intuitionistic fuzzy quintuple implication algorithm, as an extension of the fuzzy reasoning algorithm, may better characterize and deal with uncertainty in the reasoning, but how to select distance measure and analyze the algorithm ...
Shuiling Zeng +3 more
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Fuzzy Inference Full Implication Method Based on Single Valued Neutrosophic t-Representable t-Norm
Proceedings, 2022 As a generalization of intuitionistic fuzzy sets, single-valued neutrosophic sets have certain advantages for solving indeterminate and inconsistent information. In this paper, we study the fuzzy inference full implication method based on a single-valued
Minxia Luo, Donghui Xu, Lixian Wu
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A Study of Generalized QL′-Implications
Mathematics, 2022 In this paper, we introduce and study the GQL′-operations. We prove that this class is a hyper class of the known class of QL′-operations. Similar to QL′-operations, GQL′-operations are not always fuzzy implications.
Dimitrios S. Grammatikopoulos +1 more
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On Fuzzy Implications Derived from General Overlap Functions and Their Relation to Other Classes
Axioms, 2022 There are distinct techniques to generate fuzzy implication functions. Despite most of them using the combination of associative aggregators and fuzzy negations, other connectives such as (general) overlap/grouping functions may be a better strategy ...
Jocivania Pinheiro +6 more
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Three-Way Fuzzy Sets and Their Applications (III)
Axioms, 2023 Three-way fuzzy inference is the theoretical basis of three-way fuzzy control. The proposed TCRI method is based on a Mamdani three-way fuzzy implication operator and uses one inference and simple composition operation.
Qingqing Hu, Xiaohong Zhang
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Willmott Fuzzy Implication in Fuzzy Databases
WSEAS TRANSACTIONS ON MATHEMATICS, 2021 The object of the research are fuzzy functional dependencies on given relation scheme, and the question of their obtaining using the classical and innovated techniques. The attributes of the universal set are associated to the elements of the unit interval, and are turned into fuzzy formulas in this way.
Sanela Nesimovic, Dzenan Gusic
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Fuzzy Implication and Functional Dependency on Formal Context
Jurnal Matematika Integratif, 2020 Fuzzy formal concept analysis(FFCA) is a development of formal concept analysis(FCA) with the degree of relation between objects and attributes. Using FCA approach, we will investigate the condition logical implication for fuzzy functional dependency. We
Mohammad Deni Akbar, Yoshihiro Mizoguchi
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