Generalization of Fuzzy Soft BCK/BCI-Algebras

N. Alam; G. Muhiuddin; S. Obeidat; H. N. Zaidi; A. Altaleb; J. M. Aqib

doi:10.1155/2021/9965074

Journal of Mathematics (Jan 2021)

Generalization of Fuzzy Soft BCK/BCI-Algebras

N. Alam,
G. Muhiuddin,
S. Obeidat,
H. N. Zaidi,
A. Altaleb,
J. M. Aqib

Affiliations

N. Alam: Department of Basic Sciences, Deanship of Preparatory Year, University of Háil, Háil 2440, Saudi Arabia
G. Muhiuddin: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
S. Obeidat: Department of Basic Sciences, Deanship of Preparatory Year, University of Háil, Háil 2440, Saudi Arabia
H. N. Zaidi: Department of Basic Sciences, Deanship of Preparatory Year, University of Háil, Háil 2440, Saudi Arabia
A. Altaleb: Department of Basic Sciences, Deanship of Preparatory Year, University of Háil, Háil 2440, Saudi Arabia
J. M. Aqib: Department of Software Engineering, College of Computer Science, University of Háil, Háil 2440, Saudi Arabia

DOI: https://doi.org/10.1155/2021/9965074
Journal volume & issue: Vol. 2021

Abstract

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In this paper, the notions of ∈,∈∨q-fuzzy soft BCK/BCI-algebras and ∈,∈∨q-fuzzy soft sub-BCK/BCI-algebras are introduced, and related properties are investigated. Furthermore, relations between fuzzy soft BCK/BCI-algebras and ∈,∈∨q-fuzzy soft BCK/BCI-algebras are displayed. Moreover, conditions for an ∈,∈∨q-fuzzy soft BCK/BCI-algebra to be a fuzzy soft BCK/BCI-algebra are provided. Also, the union, the extended intersection, and the “AND”-operation of two ∈,∈∨q-fuzzy soft (sub-)BCK/BCI-algebras are discussed, and a characterization of an ∈,∈∨q-fuzzy soft BCK/BCI-algebra is established.

Published in Journal of Mathematics

ISSN: 2314-4629 (Print); 2314-4785 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/1469

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