An innovative approach towards possibility fuzzy soft ordered semigroups for ideals and its application

Sana Habib, Harish Garg, Yufeng Nie, Faiz Muhammad Khan

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

The objective of this paper is put forward the novel concept of possibility fuzzy soft ideals and the possibility of fuzzy soft interior ideals. The various results in the form of the theorems with these notions are presented and further validated by suitable examples. In modern life decision-making problems, there is a wide applicability of the possibility fuzzy soft ordered semigroup which has also been constructed in the paper to solve the decision-making process. Elementary and fundamental concepts including regular, intra-regular and simple ordered semigroups in terms of possibility fuzzy soft ordered semigroup are presented. Later, the concept of left (resp. right) regular and left (resp. right) simple in terms of possibility fuzzy soft ordered semigroups are delivered. Finally, the notion of possibility fuzzy soft semiprime ideals in an ordered semigroup is defined and illustrated by theorems and example.

Original languageEnglish
Article number1183
JournalMathematics
Volume7
Issue number12
DOIs
StatePublished - 1 Dec 2019

Keywords

  • Fuzzy soft ideals
  • Possibility fuzzy soft interior ideals
  • Possibility fuzzy soft semiprime ideals
  • Simple possibility fuzzy soft ordered semigroup
  • Soft ordered semigroup

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