Linear Diophantine fuzzy substructures of ordered semigroups

M. Al Tahan; S. Al-Kaseasbeh; B. Davvaz; P. Harikrishnan

doi:10.1007/s13370-024-01175-8

Linear Diophantine fuzzy substructures of ordered semigroups

M. Al Tahan
, S. Al-Kaseasbeh^*
, B. Davvaz
, P. Harikrishnan

^*Corresponding author for this work

Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

As an extension of the fuzzy set, linear Diophantine fuzzy set (LDFS) was recently introduced. In this paper, we apply the concept of LDFS in ordered semigroups by introducing some new related concepts. More precisely, we study LDF-ideals and LDF-interior ideals of ordered semigroups, illustrate non-trivial examples on each, and present some of their properties. Finally, and using LDFS, we discuss the simplicity of an ordered semigroup.

Original language	English
Article number	35
Journal	Afrika Matematika
Volume	35
Issue number	2
DOIs	https://doi.org/10.1007/s13370-024-01175-8
Publication status	Published - 06-2024

All Science Journal Classification (ASJC) codes

General Mathematics

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N1 - Publisher Copyright: © African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2024.

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AB - As an extension of the fuzzy set, linear Diophantine fuzzy set (LDFS) was recently introduced. In this paper, we apply the concept of LDFS in ordered semigroups by introducing some new related concepts. More precisely, we study LDF-ideals and LDF-interior ideals of ordered semigroups, illustrate non-trivial examples on each, and present some of their properties. Finally, and using LDFS, we discuss the simplicity of an ordered semigroup.

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Linear Diophantine fuzzy substructures of ordered semigroups

Abstract

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