• ISOMORPHISM THEOREMS ON M-FUZZY SOFT INTERSECTION IDEALS

J. REGALA JEBALILY, G. SUBBIAH*, V. NAGARAJAN

Abstract


The aim of the paper to lay a foundation for providing a soft fuzzy algebraic tool in considering many problems that contain uncertainties. In order to provide these soft fuzzy algebraic structures, the notion of M-fuzzy soft intersection groups which is a generalization of that fuzzy soft groups is provided. By introducing the notion soft fuzzy cosets, soft fuzzy quotient groups based on M-fuzzy soft intersection ideals are established. Finally, isomorphism theorems of M-fuzzy soft intersection groups related to invariant fuzzy soft sets are discussed.


Keywords


M-fuzzy soft intersection group, soft set, soft intersection group, M-fuzzy soft int-ideal, soft fuzzy coset, soft fuzzy quotient group, invariant fuzzy soft set, extended image set.

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