Application of L-fuzzy soft sets to semirings

Article type: Research Article

Authors: Ali, Muhammad Irfan | Shabir, Muhammad | Samina,

Affiliations: Department of Mathematics, Islamabad Model College for Girls F-6/2, Islamabad, Pakistan | Department of Mathematis, Quaid-i-Azam University, Islamabad, Pakistan | Department of Mathematis, Iqra National University, Peshawer, Pakistan

Note: [] Corresponding author. Muhammad Irfan Ali, Department of Mathematics, Islamabad Model College for Girls F-6/2, Islamabad, Pakistan. E-mails: [email protected] (Muhammad Irfan Ali); [email protected] (Muhammad Shabir); [email protected] (Samina).

Abstract: L-fuzzy soft set is a generalization of fuzzy soft set. In the recent paper L-fuzzy soft sets have emerged as a new tool to characterize semirings. Concepts of L-fuzzy soft subsemirings and L-fuzzy ideals are introduced and some of their properties are studied. It is seen that L-fuzzy soft ideals have ability to characterize regular and weakly regular semirings. Finally fully idempotent semirings are characterized with the help of L-fuzzy soft ideals.

Keywords: Semirings, fuzzy sets, L-fuzzy soft set, ideals

DOI: 10.3233/IFS-141139

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 4, pp. 1731-1742, 2014