Exploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior Ideals

Sana Habib; Kashif Habib; Violeta Leoreanu-Fotea; Faiz Muhammad Khan

doi:10.3390/math13020210

journal article Open Access Jan 09, 2025

Exploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior Ideals

Sana Habib

Kashif Habib

Violeta Leoreanu-Fotea Faiz Muhammad Khan

Mathematics Vol. 13 No. 2 pp. 210 · MDPI AG

View at Publisher Save 10.3390/math13020210

Abstract

This paper aims to introduce a novel idea of possibility multi-fuzzy soft ordered semigroups for ideals and interior ideals. Various results, formulated as theorems based on these concepts, are presented and further validated with suitable examples. This paper also explores the broad applicability of possibility multi-fuzzy soft ordered semigroups in solving modern decision-making problems. Furthermore, this paper explores various classes of ordered semigroups, such as simple, regular, and intra-regular, using this innovative method. Based on these concepts, some important conclusions are drawn with supporting examples. Moreover, it defines the possibility of multi-fuzzy soft ideals for semiprime ordered semigroups.

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Details

Published: Jan 09, 2025
Vol/Issue: 13(2)
Pages: 210
License: View

Authors

S

Sana Habib

School of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, China

K

Kashif Habib

Automotive Engineering Research Institute, Jiangsu University, Zhenjiang 212000, China

V

Violeta Leoreanu-Fotea

Faculty of Mathematics, Al. I. Cuza University of Iasi, Bd Carol I, No. 11, 700506 Iasi, Romania

F

Faiz Muhammad Khan

Department of Mathematics and Statistics, University of Swat, Swat 19120, Pakistan

Cite This Article

Sana Habib, Kashif Habib, Violeta Leoreanu-Fotea, et al. (2025). Exploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior Ideals. Mathematics, 13(2), 210. https://doi.org/10.3390/math13020210

Exploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior Ideals

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