Hesitant fuzzy hyperideals of ordered semihypergroups
Hesitant fuzzy sets introduced by Torra and Narukawa present a powrerful tool for study of hesitancy in decision making. In this paper, we introduce the notions of hesitant fuzzy product, characteristic hesitant fuzzy set, hesitant fuzzy hyperideals and hesitant fuzzy interior hyperideals of ordered semihypergroups. We characterize regular and intra-regular ordered semihypergroups by the properties of their hesitant fuzzy hyperideals and hesitant fuzzy interior hyperideals. We introduce the notion of hesitant fuzzy simple ordered semihypergroups. Furthermore, some characterizations of hesitant fuzzy simple ordered semihypergroups by means of hesitant fuzzy hyperideals and hesitant fuzzy interior hyperideals are provided.
Authors
- Kostaq Hila (ORCID: https://orcid.org/0000-0001-6425-2619)
- Asghar Khan (ORCID: https://orcid.org/0000-0002-6846-662X)
- Muhammad Umar FAROOQ (ORCID: https://orcid.org/0000-0002-4836-0123)
- Izhar Muhammad (ORCID: https://orcid.org/0000-0002-8849-8506)
Institutions
- Abdul Wali Khan University Mardan (PK)
- Polytechnic University of Tirana (AL)
- Government of Khyber Pakhtunkhwa (PK)
Publication Details
- Journal
- Annals of the University of Craiova Mathematics and Computer Science Series
- Published
- 2024-12-25
- DOI
- https://doi.org/10.52846/ami.v51i2.1872
- Primary Topic
- Fuzzy and Soft Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00