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On Prime Hesitant Fuzzy Ideals in Semigroups
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Author(s): Pairote Yiarayong (Pibulsongkram Rajabhat University, Thailand)
Copyright: 2022
Pages: 17
Source title:
Handbook of Research on Advances and Applications of Fuzzy Sets and Logic
Source Author(s)/Editor(s): Said Broumi (Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco & Regional Center for the Professions of Education and Training (CRMEF), Casablanca-Settat, Morocco)
DOI: 10.4018/978-1-7998-7979-4.ch017
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Abstract
Theory of hesitant fuzzy sets is an important tool in algebraic systems, fuzzy sets theory, partially ordered sets, data mining, etc. The aim of this chapter is to apply prime hesitant fuzzy ideal for dealing with several kinds of theories in semigroups. The concepts of prime hesitant fuzzy, weakly prime hesitant fuzzy, completely prime hesitant fuzzy, and weakly completely prime hesitant fuzzy ideals on semigroups have been introduced. The authors deduce some fascinating properties and characterizations for these hesitant fuzzy ideals. Finally, they obtain sufficient conditions of a prime hesitant fuzzy (weakly prime hesitant fuzzy) in order to rephrase a completely prime hesitant fuzzy (weakly completely prime hesitant fuzzy) ideal in a semigroup.
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