Open Accessg-Closed Soft Sets in Soft Closure Spaces
Author(s) -
Rasha Naser Majeed,
Shahad Thaar Ekram
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1879/2/022128
Subject(s) - closure (psychology) , intersection (aeronautics) , closed set , generalization , algorithm , soft set , computer science , mathematics , artificial intelligence , discrete mathematics , mathematical analysis , fuzzy logic , economics , engineering , market economy , aerospace engineering
The aim of the present work is to define a new class of closed soft sets in soft closure spaces, namely, generalized closed soft sets ( gc -soft sets, for short) which are defined over an initial universe set with a fixed set of parameters. This new class is a generalization to the class of closed soft sets. A necessary condition for a gc -soft set to be a soft closed is also obtainable. Moreover, the union and intersection of two gc -soft sets are discussed. Besides, some properties of gc -soft sets in the product soft closure spaces are also studied. Also, as an application of gc -soft sets a new soft separation axiom, namely T 1 2 -soft closure space is introduced and its basic properties are investigated.