Semicomplete lattice of all $T$-complex gradations of openness on a fuzzy topological space

Semicomplete lattice of all $T$ -complex gradations of openness on a fuzzy topological space

Document Type : Research Articles

Authors

¹ Faculty of Basic Sciences, University of Qom, Qom, Iran

² University of Mazandaran, Babolsar, Iran

Abstract

‎In this paper‎, ‎we introduce the complex (anti complex) fuzzy topological space

(X ‎, ‎ T)

‎ ‎with complex (anti complex) gradation of openness under

T

-norm (

C

-conorm) which

X

is itself a

T

-complex (

C

-anti complex) fuzzy subset of a nonempty set

M

‎. ‎We show that the set of all

T

-complex gradations of openness on

X

is a semicomplete lattice‎. We give some example such as

T

-complex fuzzy subspace of

Λ R^{m}

‎, ‎the exterior algebra on

R^{m}

Keywords

Main Subjects