http://localhost:8080/jspui/handle/123456789/489 Sat, 18 Apr 2026 09:24:07 GMT 2026-04-18T09:24:07Z http://localhost:8080/jspui/handle/123456789/523 Title: The Lattice of Intuitionistic Fuzzy Topologies Generated by Intuitionistic Fuzzy Relations. Authors: Soheyb, Milles Abstract: We generalize the notion of fuzzy topology generated by fuzzy relation given by Mishra and Srivastava to the setting of intuitionistic fuzzy sets. Some fundamental properties and necessary examples are given. More specifically, we provide the lattice structure to a family of intuitionistic fuzzy topologies generated by intuitionistic fuzzy relations. To that end, we study necessary structural characteristics such as distributivity, modularity and complementary of this lattice. Wed, 01 Jan 2020 00:00:00 GMT http://localhost:8080/jspui/handle/123456789/523 2020-01-01T00:00:00Z http://localhost:8080/jspui/handle/123456789/521 Title: Single valued neutrosophic mappings defined by single valued neutrosophic relations with applications. Authors: Soheyb, Milles Abstract: In this paper, we introduce the notion of single valued neutrosophic mapping defined by single valued neutrosophic relation which is considered as a generalization of fuzzy mapping defined by fuzzy relation and several properties related to this notion are studied. Moreover, we generalize the notion of fuzzy topology on fuzzy sets introduced by Kandil et al. to the setting of single valued neutrosophic sets. As applications, we establish the property of continuity in single valued neutrosophic topological space and investigate relationships among various types of single valued neutrosophic continuous mapping. Wed, 01 Jan 2020 00:00:00 GMT http://localhost:8080/jspui/handle/123456789/521 2020-01-01T00:00:00Z http://localhost:8080/jspui/handle/123456789/520 Title: PRINCIPAL INTUITIONISTIC FUZZY IDEALS AND FILTERS ON A LATTICE. Authors: Soheyb, Milles Abstract: In this paper, we generalize the notion of principal ideal (resp. filter) on a lattice to the setting of intuitionistic fuzzy sets and investigate their various characterizations and properties. More specifically, we show that any principal intuitionistic fuzzy ideal (resp. filter) coincides with an intuitionistic fuzzy down-set (resp. up-set) generated by an intuitionistic fuzzy singleton. Afterwards, for a given intuitionistic fuzzy set, we introduce two intuitionistic fuzzy sets: its intuitionistic fuzzy down-set and up-set, and we investigate their interesting properties. Wed, 01 Jan 2020 00:00:00 GMT http://localhost:8080/jspui/handle/123456789/520 2020-01-01T00:00:00Z http://localhost:8080/jspui/handle/123456789/519 Title: NEUTROSOPHIC TOPOLOGIES GENERATED BY NEUTROSOPHIC RELATIONS. Authors: Soheyb, Milles Abstract: In a recent paper, Mishra and Srivastava have introduced and studied fuzzy topology generated by fuzzy relation and some basic properties were proved. In this paper, we generalize this notion to the setting of neutrosophic sets. Moreover, some necessary examples are given. To that end, we investigate fundamental properties of this topology in terms of its lower and upper contour sets. Fri, 01 Jan 2021 00:00:00 GMT http://localhost:8080/jspui/handle/123456789/519 2021-01-01T00:00:00Z