A new approach to LA-semigroup theory via the soft sets

AS Sezer - Journal of Intelligent & Fuzzy Systems, 2014 - content.iospress.com
AS Sezer
Journal of Intelligent & Fuzzy Systems, 2014content.iospress.com
… The theory of soft set has also a wide-ranging applications as in the following studies: [9,
16, 17]. In this paper, a new approach to the LAsemigroup theory via soft set theory, with the
concept of soft intersection LA-semigroups and soft intersection LA-ideals are made. The
paper reads as follows: First, some basic definitions about soft sets, LA-semigroups, soft
intersection product and soft characteristic function are reminded. Then, …
Abstract
In this paper, soft intersection LA-semigroups, soft intersection left (right, two-sided) ideals,(generalized) bi-ideals, interior ideals, quasi-ideals in LA-semigroups are defined, their examples and properties are given and their interrelations are obtained.
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