Title: Cartesian product of the extensions of fuzzy soft ideals over near-rings

Authors: T. Manikantan; S. Ramkumar

Addresses: Post Graduate and Research Department of Mathematics, Thiruvalluvar Government Arts College (Affl. to Periyar University), Rasipuram – 637 401, Namakkal District, Tamilnadu, India ' Post Graduate and Research Department of Mathematics, Thiruvalluvar Government Arts College (Affl. to Periyar University), Rasipuram – 637 401, Namakkal District, Tamilnadu, India

Abstract: In this paper, the notions of fuzzy translation, fuzzy multiplication and fuzzy magnified translation of the cartesian product of fuzzy soft sets are introduced. The cartesian product of the extensions of fuzzy soft sets over a near-ring is defined. Using these notions, the concepts of fuzzy soft near-ring and fuzzy soft ideal over a near-ring are studied. Finally, the fuzzy translation, fuzzy multiplication and fuzzy magnified translation of the cartesian product of the extensions of two fuzzy soft sets over a regular commutative near-ring are equivalent for a fuzzy soft near-ring (resp. ideal) is proved.

Keywords: fuzzy magnified translation; extension of fuzzy soft set; cartesian product of the extensions of fuzzy soft sets; fuzzy soft near-ring; fuzzy soft ideal.

DOI: 10.1504/IJDSDE.2021.120041

International Journal of Dynamical Systems and Differential Equations, 2021 Vol.11 No.5/6, pp.426 - 447

Received: 13 Apr 2019
Accepted: 25 Jul 2019
Published online: 05 Jan 2022 *

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