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[3] viXra:2102.0023 [pdf] submitted on 2021-02-04 20:24:20
Authors: Fadhil Hussein Abbas
Comments: 13 Pages. [Corrections made by viXra Admin to conform with scholarly norm]
In this paper, we introduce the notion of intuitionistic fuzzy soft ideal in intuitionistic
fuzzy soft set theory. Also we introduce the concept of intuitionistic fuzzy soft local function. These concepts are discussed with a view to find new intuitionistic fuzzy soft topologies from the original one. The basic structure, especially a basis for such generated intuitionistic fuzzy soft topologies also studied here. The notion of compatibility of intuitionistic fuzzy soft ideals with
intuitionistic fuzzy soft topologies is introduced and some equivalent conditions concerning this
topic are established here. Finally we introduce intuitionistic fuzzy soft-I-open set, intuitionistic fuzzy soft pre-I-open set, intuitionistic fuzzy soft semi-I-open set, intuitionistic fuzzy soft-α-Iopen set and intuitionistic fuzzy soft-β-I-open set and discuss some of their properties.
Category: Topology
[2] viXra:2102.0022 [pdf] submitted on 2021-02-04 20:28:27
Authors: Fadhil Hussein Abbas
Comments: 14 Pages. [Corrections made by viXra Admin to conform with scholarly norm]
In this paper, we introduce a new class of open sets in a topological space (X; τ) called h-open sets. Also, introduce and study topological properties of h-interior, h-closure, h-limit points, h-derived, h-interior points, h-border, h-frontier and h-exterior by using the concept of h-open sets. Moreover introduce the notion of h-continuous functions, h-open functions, h-irresolute functions, h-totally continuous functions, h-contra-continuous functions, h-homeomorphism and investigate some properties of these functions and study some properties, remarks related to them.
Category: Topology
[1] viXra:2102.0021 [pdf] submitted on 2021-02-04 20:30:15
Authors: Fadhil Hussein Abbas
Comments: 11 Pages.
In this paper, we introduce the notion of L-ideal in L-set theory. Also we introduce the concept of L-local function. These concepts are discussed with a view to find new L-topologies from the original one. The basic structure, especially a basis for such generated L-topologies also studied here. The notion of L-compatibility of L-ideals with L-topologies is introduced and some equivalent conditions concerning this topic are established here. Moreover, by using L-local
function we introduce L-operator ψ satisfying ψ(AL) = 1X – (1X – AL)*, for all AL ⊆ LX and we
discuss some characterizations this L-operator by use L-open sets.
Category: Topology
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