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Fuzzy Convex Invariants and Product Spaces
"... In abstract convexity theory, the classical convex invariants namely Helly number, Caratheodory number, Radon number and Exchange number play a central role. In [3], some basic relations between these invariants in a fuzzy convex structure are studied. The behaviour of these invariants under the for ..."
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In abstract convexity theory, the classical convex invariants namely Helly number, Caratheodory number, Radon number and Exchange number play a central role. In [3], some basic relations between these invariants in a fuzzy convex structure are studied. The behaviour of these invariants under the formation of FCP images are also studied. In this paper, the fuzzy convex invariants of product spaces are discussed and certain relations are established. Subject Classification: 52A35, 03E72
On Some Fuzzy Convex Invariants in a Fuzzy Convex Product Space
"... J. Eckhoff introduced the concept of convex product space in 1968. The classical convex invariants namely Helly number, Caratheodory number, Radon number and exchange number for the convex product space are determined and studied by G.Sierksma [5] in 1976. In [4],the authors studied some of these cl ..."
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J. Eckhoff introduced the concept of convex product space in 1968. The classical convex invariants namely Helly number, Caratheodory number, Radon number and exchange number for the convex product space are determined and studied by G.Sierksma [5] in 1976. In [4],the authors studied some of these classical convex invariants in the fuzzy context and arrived at certain results. In this paper, the exchange number of a fuzzy convex product space with two factors is discussed in various situations. Mathematics Subject Classification: 52A35, 03E72