Browsing by Author "Bagirmaz, Nurettin"

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THE LEFT (RIGHT) ROUGH APPROXIMATIONS IN A GROUP
(PUSHPA PUBLISHING HOUSE, 2019) Bagirmaz, Nurettin; Tasbozan, Hatice
Rough set theory proposes a new mathematical approach to model vagueness. In this paper, we introduce a new definition for rough approximations with respect to the subgroups of a group, which is called the left (right) lower and upper approximations. In fact, we prove that this definition is a generalization of definition in [5]. Then we give some properties of these rough approximations.
Citation - WoS: 8
Citation - Scopus: 10
Soft Sets and Soft Topology on Nearness Approximation Spaces
(UNIV NIS, FAC SCI MATH, 2017) Tasbozan, Hatice; Icen, Ilhan; Bagirmaz, Nurettin; Ozcan, Abdullah Fatih
Near set theory presents a fundamental basis for observation, comparison and classification of perceptual granules. Soft set theory is proposed as a general framework to model vagueness. The purpose of this paper is to combine these two theories in what are known near soft sets in defining near soft topology based on a nearness approximation space.
A Topological Approach for Rough Semigroups
(Amer inst Mathematical Sciences-aims, 2024) Bagirmaz, Nurettin
This study presents a novel approach to defining topological rough semigroups on an approximation space. The concepts of topological space and rough semigroup are naturally combined to achieve this goal. Also, some basic results and examples are presented. Furthermore, some compactness properties are also studied. In addition, their rough subsemigroups and rough ideals are