Bipolar-valued fuzzy soft hyper BCK ideals in hyper BCK algebras

Author:

Muhiuddin G.1ORCID,Harizavi Habib2,Jun Young Bae3

Affiliation:

1. Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia

2. Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran

3. Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

Abstract

Using the notion of bipolar-valued fuzzy soft set, the concepts of bipolar-valued fuzzy soft (weak, [Formula: see text]-weak, strong) hyper BCK ideal are introduced, and related properties and relations are investigated. Characterizations of bipolar-valued fuzzy soft (weak) hyper BCK ideal are considered. Conditions for a bipolar-valued fuzzy soft weak hyper BCK ideal to be a bipolar-valued fuzzy soft [Formula: see text]-weak hyper BCK ideal are provided. Conditions for a bipolar-valued fuzzy soft set to be a bipolar-valued fuzzy soft strong hyper BCK ideal are displayed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Discrete Mathematics and Combinatorics

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