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Published:
May 2, 2026DOI:
10.4314/mejs.v18i1.2Keywords:
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Main Article Content
On Intuitionistic Gem Sets and Intuitionistic Turing Points
Rose Venish A. G
Vidyarani L
Abstract
Being familiar with intuitionistic set theory and with the introduction of neutrosophic theory as a generalization of fuzzy set theory and Atanassov’s (IFS) theory, it is well known that there are numerous applications of intuitionistic, fuzzy, and neutrosophic sets in many fields such as topology, graph theory, image processing, algebra, medicine, etc. As a combination of the concept of Gem set and turing points with neutrosophic crisp sets, different sets and points, namely neutrosophic crisp Gem sets and neutrosophic turing points, are introduced and studied. In the same fashion, the concept of blending a Gem set with an intuitionistic set is introduced in this article in order to develop more concepts and theories on intuitionistic topological spaces. The main intention of this research article is to introduce the new types of intuitionistic sets and limit points in intuitionistic topological space, namely, intuitionistic Gem sets and intuitionistic turing points, respectively. In detail, the characteristics of intuitionistic Gem sets and a few counterexamples are discussed. As a result, the properties of the intutionistic Gem set and the relation between the mappings on intutionistic Gem sets are analysed.
