New Generalized Definitions of Rough Membership Relations and Functions from Topological Point of View
Mostafa K. El-Bably, A.M. Kozae, M. E. Abd El-Monsef · JOURNAL OF ADVANCES IN MATHEMATICS · 2014
In this paper, we shall integrate some ideas in terms of concepts in topology. In fact, we introduce two different views to define generalized membership relations and functions as mathematical tools to classify the sets and help for measuring exactness and roughness of sets. Moreover, we define several types of fuzzy sets. Comparisons between the induced operations were discussed. Finally, many results, examples and counter examples to indicate connections are investigated.