Results 11 to 20 of about 255 (177)
On a New Intuitionistic Fuzzy Implication [PDF]
Advances in Intelligent Systems Research, 2015 Here a new intuitionistic fuzzy implication is constructed. Its relations with some forms of Klir and Yuan’s axioms are studied. Some open problems, related to the operations of intuitionistic fuzzy propositional calculus, are formulated.
Krassimir T. Atanassov
openaire +2 more sources
, 2015 The central issue of inference validity, that guarantees the correctness of reasoning and thus that of derived knowledge, depends on the definition of both implication operator and tautology. This paper studies the modus ponens validity in the case of Intuitionistic Fuzzy logic, in an experimental framework: considering 18 classical implication ...
Detyniecki, Marcin +2 more
openaire +3 more sources
New Operations on Intuitionistic Fuzzy Soft Sets Based on First Zadeh's Logical Operators [PDF]
Journal of New Results in Science, 2014 – In this paper , we have defined First Zadeh’s implication , First Zadeh’s intuitionistic fuzzy conjunction and intuitionistic fuzzy disjunction of two intuitionistic fuzzy soft sets and some their basic properties are studied with proofs and ...
Florentin Smarandache +2 more
doaj +2 more sources
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
doaj +2 more sources
Fractal and FractionalAs a non-associative connective in fuzzy logic, the analysis and research of overlap functions have been extended to many generalized cases, such as interval-valued and intuitionistic fuzzy overlap functions (IFOFs).
Yongjun Yan +2 more
doaj +2 more sources
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
openaire +1 more source
On the weak intuitionistic fuzzy implication based on △ operation [PDF]
Notes on Intuitionistic Fuzzy Sets, 2021 In this paper, a new weak intuitionistic fuzzy implication is introduced. Fulfillment of some axioms and properties, together with the Modus Ponens and Modus Tollens inference rules are investigated. Negation induced by the newly proposed implication is presented.
Lilija Atanassova, Piotr Dworniczak
openaire +1 more source
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
openaire +1 more source
Modifications of the Goguen's intuitionistic fuzzy implication [PDF]
Notes on Intuitionistic Fuzzy Sets, 2021 On the basis of the Goguen’s intuitionistic fuzzy implication, seven of its modifications are constructed. Some of their basic properties are studied. The negations, generated by these implications are introduced and some of their properties are also described.
Janusz Kacprzyk +3 more
openaire +1 more source
Modifications of Łukasiewicz’s intuitionistic fuzzy implication [PDF]
Notes on Intuitionistic Fuzzy Sets, 2021 In [6], G. Klir and B. Yuan named after J. Łukasiewicz the implication p \rightarrow q = min(1, p+q). In a series of papers, 198 different intuitionistic fuzzy implications have been introduced, and their basic properties have been studied. Here we introduce six new implications which are modifications of Łukasiewicz’s intuitionistic fuzzy implication,
Alžbeta Michalíková +2 more
openaire +1 more source