Results 11 to 20 of about 26,652 (157)
On the intuitionistic fuzzy implication →191 [PDF]
Notes on Intuitionistic Fuzzy Sets, 2019 A new intutionistic fuzzy implication,→191, is constructed. Some of its basic properties are studied.
K. Atanassov
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Modifications of the Third Zadeh’s intuitionistic fuzzy implication [PDF]
Notes on Intuitionistic Fuzzy Sets, 2021 In [24], G. Klir and B. Yuan named after L. Zadeh the implication p → q = max(1 − p, min(p, q)). In a series of papers, the author introduced two intuitionistic fuzzy forms of Zadeh’s implication and their basic properties have been studied.
K. Atanassov, Nora A. Angelova
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IEEE Access, 2019 Fuzzy system, as the main method of approximate reasoning, has been widely used to solve practical problems. The existing results on fuzzy systems were based on fuzzy sets, fuzzy if-then rule, and fuzzy inference.
Jiansheng Li, Zengtai Gong
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Intuitionistic fuzzy interpretation of a classical propositional logic formula [PDF]
Notes on IFSThe formula ¬A = (A → ((A → A) ∧ ¬(A → A))) is a tautology in the classical propositional logic. In this paper, we determine all intuitionistic fuzzy implications that satisfy this formula together with the classical intuitionistic fuzzy negation or with
Krassimir Atanassov +2 more
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Research on intuitionistic fuzzy implications. Part 3 [PDF]
Notes on IFS, 2023 Continuing the research from [1,2], here we give the lists of the intuitionistic fuzzy implications, introduced in [2], that satisfy at least one of two forms of Modus Ponens (MP) – a standard and a new one, called "mixed", forms.
Nora Angelova +2 more
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Research on intuitionistic fuzzy implications. Part 4 [PDF]
Notes on IFSContinuing the research from Parts 1, 2 [2, 3] where intuitionistic fuzzy implications, determined as implications with "good" properties, were investigated, here we correct the list of the implications that satisfy the Modus Ponens from Part 3, [4], and
Nora Angelova +2 more
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On modal forms of the two-parametric weak intuitionistic fuzzy implication
Notes on Intuitionistic Fuzzy Sets, 2022 In this paper new modal forms of the two-parametric weak intuitionistic fuzzy implication are introduced. Fulfillment of some properties, together with Modus Ponens and Modus Tollens inference rules, are investigated.
P. Dworniczak
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Research on intuitionistic fuzzy implications [PDF]
Notes on Intuitionistic Fuzzy Sets, 2021 Currently in the theories of intuitionistic fuzzy sets, logics and pairs, there are 198 different implications. Here, we check the relationships between every two of them.
Nora Angelova, Krassimir Atanassov
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Intuitionistic Fuzzy Implications and the Axioms of Intuitionistic Logic [PDF]
Advances in Intelligent Systems Research, 2015 During years of research, there have been defined 153 intuitionistic fuzzy implications. In the paper, it is checked which of these implications satisfy which axioms of the intuitionistic logic, whether as (classical) tautologies or as intuitionistic fuzzy tautologies.
Nora A. Angelova, Krassimir T. Atanassov
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Axioms, 2022 Two important basic inference models of fuzzy reasoning are Fuzzy Modus Ponens (FMP) and Fuzzy Modus Tollens (FMT). In order to solve FMP and FMT problems, the full implication triple I algorithm, the reverse triple I algorithm and the Subsethood ...
Minxia Luo, Wenling Li, Hongyan Shi
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