Ideal Theory in BCK/BCI-algebras in the Frame Of Hesitant Fuzzy Set Theory

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초록

Several generalizations and extensions of fuzzy sets have been introduced in the literature, for example, Atanassov's intuitionistic fuzzy sets, type 2 fuzzy sets and fuzzy multisets, etc. Using the Torra's hesitant fuzzy sets, the notions of Sup-hesitant fuzzy ideals in BCK/BCI-algebras are introduced, and its properties are investigated. Relations between Sup-hesitant fuzzy subalgebras and Sup-hesitant fuzzy ideals are displayed, and characterizations of Sup-hesitant fuzzy ideals are discussed.

키워드

Sup-hesitant fuzzy subalgebra; Sup-hesitant fuzzy ideal; LINGUISTIC TERM SETS; P-IDEALS; AGGREGATION; SUBALGEBRAS; SEMIGROUPS; DISTANCE; FILTERS
제목
Ideal Theory in BCK/BCI-algebras in the Frame Of Hesitant Fuzzy Set Theory
저자
Muhiuddin, G.; Harizavi, Habib; Jun, Young Bae
발행일
2020-06
유형
Article
저널명
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL
권
15
호
1
페이지
337 ~ 352