Muhammad Khan, Faiz and Sarmin, Nor Haniza and Khan, Asghar and Khan, Hidayat Ullah (2015) Some innovative types of fuzzy biideals in ordered semigroups. Journal of Advanced Mathematics and Applications, 4 (1). pp. 2436. ISSN 21567565

PDF (Abstract)
88kB 
Official URL: http://dx.doi.org/10.1166/jama.2015.1070
Abstract
An ordered semigroup (algebraic structure) is a semigroup together with a partial order that is compatible with the semigroup operation. In many applied disciplines like computer science, coding theory, sequential machines and formal languages, the use of fuzzified algebraic structures especially ordered semigroups play a remarkable role. A theory of fuzzy sets in terms of fuzzy points on ordered semigroups can be developed. In this paper, we introduce the concepts of (alpha, beta)fuzzy biideals and ((beta) over bar, (alpha) over bar)fuzzy biideals of ordered semigroups, where alpha, beta is an element of{is an element of(gamma), q(delta), is an element of(gamma) boolean AND q(delta), is an element of(gamma) boolean OR q(delta)}, ($) over bar, (beta) over bar is an element of {(is an element of(gamma)) over bar, (q(delta)) over bar, (is an element of(gamma)) over bar boolean AND (q(delta)) over bar, (is an element of(gamma)) over bar boolean OR (q(delta)) over bar}, alpha not equal is an element of(gamma) boolean AND q(delta) and beta not equal (is an element of(gamma)) over bar(q(delta)) over bar and some related properties are investigated. The important milestone of this paper is, to link ordinary biideals and fuzzy biideals of types (is an element of(gamma), is an element of(gamma) boolean OR q(delta)) and ((is an element of(gamma)) over bar, (is an element of(gamma)) over bar boolean OR (q(delta)) over bar) using level subset U(mu; r). Special attention is paid to (is an element of(gamma,) is an element of(gamma) boolean OR q(delta))fuzzy biideals and ((is an element of(gamma)) over bar, (is an element of(gamma)) over bar boolean OR (q(delta)) over bar)fuzzy biideals.
Item Type:  Article 

Uncontrolled Keywords:  ordered Semigroups, fuzzy BiIdeals 
Subjects:  Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  56040 
Deposited By:  Muhamad Idham Sulong 
Deposited On:  15 Nov 2016 07:09 
Last Modified:  15 Nov 2016 07:09 
Repository Staff Only: item control page