Start Submission Become a Reviewer

Reading: Generalised roughness in (∈,∈Vq)-fuzzy substructures of LA-semigroups

Download

A- A+
Alt. Display

Research Articles

Generalised roughness in (∈,∈Vq)-fuzzy substructures of LA-semigroups

Authors:

Noor Rehman,

Riphah International University, PK
About Noor
Department of Mathematics and Statistics
X close

Nasir Shah,

Islamabad Model College for Girls, PK
About Nasir
Department of Mathematics
X close

Muhammad Irfan Ali,

Islamabad Model College for Girls, PK
About Muhammad
Department of Mathematics
X close

Abbas Ali

Riphah International University, PK
About Abbas
Department of Mathematics and Statistics
X close

Abstract

LA-semigroups are non-associative sturctures of great importance. Study of generalised roughness for fuzzy algebraic substrucures of LA-semigroups has been initiated. Many different kinds of set valued maps are needed to preserve an algebraic substrucure, while considering its lower and upper approximations. In the present paper generalised lower and upper approximations in (ϵ,ϵ Vԛ)- fuzzy ideals of LA-semigroups have been investigated. An (ϵ,ϵ Vԛ)- fuzzy subset of an LA-subsemigroup has two parts, viz. lower and upper parts. Many properties of lower and upper approximations have been given for these. In conclusion, lower and upper approximations for (ϵ,ϵ Vԛ)- fuzzy interior ideals and (ϵ,ϵ Vԛ)- fuzzy bi-ideals have been discussed in LA-semigroups.

How to Cite: Rehman, N., Shah, N., Ali, M.I. and Ali, A., 2018. Generalised roughness in (∈,∈Vq)-fuzzy substructures of LA-semigroups. Journal of the National Science Foundation of Sri Lanka, 46(3), pp.465–473. DOI: http://doi.org/10.4038/jnsfsr.v46i3.8497
Published on 30 Sep 2018.
Peer Reviewed

Downloads

  • PDF (EN)

    comments powered by Disqus