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November 2017 On $(\in_\alpha,\in_\alpha\vee q_\beta)$-fuzzy Soft $BCI$-algebras
Chiranjibe Jana, Madhumangal Pal
Missouri J. Math. Sci. 29(2): 197-215 (November 2017). DOI: 10.35834/mjms/1513306831

Abstract

Molodtsov initiated soft set theory which has provided a general mathematical framework for handling uncertainties that occur in various real life problems. The aim of this paper is to provide fuzzy soft algebraic tools in considering many problems that contain uncertainties. In this article, the notion of $(\in_\alpha,\in_\alpha\vee q_\beta)$-fuzzy soft $BCI$-subalgebra of $BCI$-algebra is introduced. Some operational properties on $(\in_\alpha,\in_\alpha\vee q_\beta)$-fuzzy soft $BCI$-subalgebras are discussed as well as lattice structures of this kind of fuzzy soft set on $BCI$-subalgebras are derived.

Citation

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Chiranjibe Jana. Madhumangal Pal. "On $(\in_\alpha,\in_\alpha\vee q_\beta)$-fuzzy Soft $BCI$-algebras." Missouri J. Math. Sci. 29 (2) 197 - 215, November 2017. https://doi.org/10.35834/mjms/1513306831

Information

Published: November 2017
First available in Project Euclid: 15 December 2017

zbMATH: 06905065
MathSciNet: MR3737297
Digital Object Identifier: 10.35834/mjms/1513306831

Subjects:
Primary: 06D72
Secondary: 03G25 , 06F35

Keywords: $(\in_\alpha,\in_\alpha\vee q_\beta)$-fuzzy soft $BCI$-algebra , $BCI$-algebra , fuzzy point , fuzzy soft set

Rights: Copyright © 2017 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.29 • No. 2 • November 2017
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