New Generalized Definitions of Rough Membership Relations and Functions from Topological Point of View
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 8, Issue 3
Abstract
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.
Authors and Affiliations
Mostafa Kamel El-Bably, A. M. Kozae, M. E. Abd El-Monsef
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