Fuzzy Soft Tri-quasi Ideals of Regular Semirings

Marapureddy Murali Krishna Rao (), Arsham Borumand Saeid () and Rajendra Kumar Kona
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Marapureddy Murali Krishna Rao: Department of Mathematics, Sanketika Institute of Technology and Management, Visakhapatnam, 530041, Andhra Pradesh, India
Arsham Borumand Saeid: Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Rajendra Kumar Kona: Department of Mathematics, GSS, GITAM (Deemed to be University), Visakhapatnam 530045, Andhra Pradesh, India

New Mathematics and Natural Computation (NMNC), 2025, vol. 21, issue 03, 743-761

Abstract: In this paper, we study some of the properties fuzzy soft tri-quasi ideals of a semiring. Tri-quasi ideals generalize, bi-ideals, quasi-ideals and interior ideals. We characterize regular semiring using fuzzy soft tri-quasi ideals and prove that, if (η,A) is a fuzzy soft tri-quasi ideal over a regular semiring M, then (η,A) is a fuzzy soft tri-ideal over M.

Keywords: Tri-quasi ideals; tri-ideals; quasi-interior ideals; bi-ideals; fuzzy tri-quasi ideals; fuzzy soft tri-quasi ideals; regular semiring (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S1793005725500358

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