Results 11 to 20 of about 190 (151)

The Relationship between Fuzzy Reasoning Methods Based on Intuitionistic Fuzzy Sets and Interval-Valued Fuzzy Sets

open access: yesAxioms, 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
doaj   +1 more source

Modifications of the Goguen's intuitionistic fuzzy implication [PDF]

open access: yesNotes 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

Fuzzy Inference Full Implication Method Based on Single Valued Neutrosophic t-Representable t-Norm

open access: yesProceedings, 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
doaj   +1 more source

Modal Type of Weak Intuitionistic Fuzzy Implications Generated by the Operation Δ

open access: yesCybernetics and Information Technologies, 2021
In 2020 L. Atanassova has been introduced the new operation Δ over intuitionistic fuzzy sets and over intuitionistic fuzzy pairs. Some of its properties have been studied in 2021 from L. Atanassova and P. Dworniczak. In 2021 L.
Dworniczak Piotr   +2 more
doaj   +1 more source

Intuitionistic Fuzzy Implications and the Axioms of Intuitionistic Logic [PDF]

open access: yesAdvances 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.
Krassimir T. Atanassov, Nora A. Angelova
openaire   +1 more source

INTUITIONISTIC FUZZY BI-IMPLICATOR AND PROPERTIES OF LUKASIEWICZ INTUITIONISTIC FUZZY BI-IMPLICATOR

open access: yesTWMS Journal of Applied and Engineering Mathematics, 2019
This paper presents axiomatic as well as constructive definitions of intuitionistic fuzzy bi-implicators based on intuitionistic fuzzy t-norms and their intuitionistic fuzzy residual implicators. The inter-relationship among different proposed classes is presented along with a detailed study of the properties of one of these intuitionistic fuzzy bi ...
ASHRAF, S., QAYYUM, M., KERR, E. E.
openaire   +4 more sources

A Multiple and Multidimensional Linguistic Truth-Valued Reasoning Method and its Application in Multimedia Teaching Evaluation

open access: yesInternational Journal of Computational Intelligence Systems, 2022
With the expansion of the epidemic, online multimedia teaching has become a common trend. The reasoning model of multimedia teaching evaluation is a useful tool to infer the result of teaching effects and predict the tendency.
Yifan Lu   +5 more
doaj   +1 more source

SISO Intuitionistic Fuzzy Systems: IF- ${t}$ -Norm, IF- ${R}$ -Implication, and Universal Approximators

open access: yesIEEE 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
doaj   +1 more source

Intuitionistic fuzzy interpretation of a classical propositional logic formula [PDF]

open access: yesNotes on IFS
The 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
doaj   +1 more source

Intuitionistic fuzzy implications revisited. Part 2

open access: yesNotes on Intuitionistic Fuzzy Sets, 2020
New conditions for correctness of the intuitionistic fuzzy implications are formulated and they are checked for the separate implications.
Nora Angelova   +3 more
openaire   +1 more source

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