Affiliations: [a] Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
| [b] Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Correspondence:
[*]
Corresponding author. Tabasam Rashid, Department of Mathematics, University of Management and Technology, Lahore, Pakistan. E-mail: [email protected].
Abstract: In variational analysis, Γ-convergence proved its importance because almost all other convergences can be expressed as Γ-convergence. The discussion about maximization and minimization is also fundamental in variational analysis. In this paper, we define three topologies
τM-,τM+,τM
on the collection of intuitionistic fuzzy sets based on maxima operator. Furthermore, convergences in these topologies are proved to be compatible with Γ-, Γ+, Γ convergences when intuitionistic fuzzy sets are upper semicontinuous with locally compact Hausdroff domain.
Keywords: Γ-convergence, intuitionistic fuzzy set, maxima operator, locally
compact topology
