• Journal of the Korean Institute of Intelligent Systems
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• v.12 no.2
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• pp.177-181
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• 2002

The main aim of this paper is to study the concept of fuzzifying proximity and fuzzifying uniformity in the framework of fuzzifying topology. Some fundamental properties of them are esablished.

• Honam Mathematical Journal
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• v.40 no.1
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• pp.27-46
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• 2018

In this paper, (E, L)-preproximity and uniformity spaces in matriod theory as a generalized to a classical proximity and Uniformity spaces introduced by Csaszar [1] is introduced. Recently, Shi [17]-[18] introduced a new approach to the fuzzification of matroids.Here introduce (E, L)-preproximity and uniformity spaces, Uniformity and strong uniformity on (E, L)-fuzzifying matroid space, Not only study the properties of this new notions, but it has been generated (E, L)-fuzzifying matroid Space from (E, L)-preproximity and uniformity spaces. Next to introduced (E, L)-preproximity continuous in (E, L)-fuzzifying matroid space and used it in more properties. Finally we solve combinatorial optimizations problem via (E, L)-fuzzifying matroid space.