Generalized Ideals of BCK/BCI-Algebras Based on Fuzzy Soft Set Theory

G. Muhiuddin; D. Al-Kadi; K. P. Shum; A. M. Alanazi

doi:10.1155/2021/8869931

Advances in Fuzzy Systems (Jan 2021)

Generalized Ideals of BCK/BCI-Algebras Based on Fuzzy Soft Set Theory

G. Muhiuddin,
D. Al-Kadi,
K. P. Shum,
A. M. Alanazi

Affiliations

G. Muhiuddin: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
D. Al-Kadi: Department of Mathematics and Statistic, Taif University, Taif 21974, Saudi Arabia
K. P. Shum: Institute of Mathematics, Yunnan University, Kunming 650091, China
A. M. Alanazi: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia

DOI: https://doi.org/10.1155/2021/8869931
Journal volume & issue: Vol. 2021

Abstract

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In the present paper, using Lukaswize triple-valued logic, we introduce the notion of α,β-intuitionistic fuzzy soft ideal of BCK/BCI-algebras, where α and β are the membership values between an intuitionistic fuzzy soft point and intuitionistic fuzzy set. Moreover, intuitionistic fuzzy soft ideals with thresholds are introduced, and their related properties are investigated.

Published in Advances in Fuzzy Systems

ISSN: 1687-7101 (Print); 1687-711X (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Technology: Electrical engineering. Electronics. Nuclear engineering; Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
Website: https://onlinelibrary.wiley.com/journal/4713

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