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Ideal Theory in BCK/BCI-algebras in the Frame Of Hesitant Fuzzy Set Theory
- Authors
- Muhiuddin, G.; Harizavi, Habib; Jun, Young Bae
- Issue Date
- Jun-2020
- Publisher
- PRAIRIE VIEW A & M UNIV
- Keywords
- Sup-hesitant fuzzy subalgebra; Sup-hesitant fuzzy ideal
- Citation
- APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, v.15, no.1, pp 337 - 352
- Pages
- 16
- Indexed
- ESCI
FOREIGN
- Journal Title
- APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL
- Volume
- 15
- Number
- 1
- Start Page
- 337
- End Page
- 352
- ISSN
- 1932-9466
- Abstract
- 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.
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