Volume 8 Issue 1 - January 2017

  • 1. Intuitionistic fuzzy sgp-closed sets

    Authors : Jyoti Pandey Bajpai, S.s. Thakur

    Pages : 636-642

    DOI : http://dx.doi.org/10.21172/1.81.083

    Keywords : Intuitionistic fuzzy g-closed sets, Intuitionistic fuzzy sg-closed sets, Intuitionistic fuzzy sgp-closed sets and intuitionistic fuzzy sgp-open sets.

    Abstract :

    In 1970, Levine introduced the concept of generalized closed sets in general topology. He observed that the family of all closed sets in a topological space X is a subfamily of the family of all generalized closed sets. He generalized some of well-known results of general topology replacing closed set by generalized closed sets, for instance, generalized closed subset of a compact space is compact and generalized closed subspace of a normal space is normal. Many authors utilized g-closed sets for the generalization of various topological concepts in general topology. The concept of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of fuzzy sets . In 1997 Coker introduced the concept of intuitionistic fuzzy topological spaces. In 2008, Thakur and Chaturvedi introduced the notion of intuitionistic fuzzy generalized closed set in intuitionistic fuzzy topological space. After that different mathematicians worked and studied in different forms of intuitionistic fuzzy g-closed set and related topological properties. The aim of this paper is to introduce the new class of intuitionistic fuzzy closed sets called intuitionistic fuzzy sgp- closed sets in intuitionistic fuzzy topological space. The class of all intuitionistic fuzzy strongly sgp--closed sets lies between the class of all intuitionistic fuzzy closed sets and class of all intuitionistic fuzzy gsp-closed sets. We also introduce the concepts of intuitionistic fuzzy sgp-- open sets in intuitionistic fuzzy topological spaces.

    Citing this Journal Article :

    Jyoti Pandey Bajpai, S.s. Thakur, "Intuitionistic fuzzy sgp-closed sets", https://www.ijltet.org/journal_details.php?id=910&j_id=3643, Volume 8 Issue 1 - January 2017, 636-642, #ijltetorg