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Abstract

In M-fuzzifying interval spaces, some properties, including M-fuzzifying dense property, M-fuzzifying decomposable property, M-fuzzifying ramification property and M-fuzzifying straight property, are introduced and their relations are studied. Based on these properties, notions of M-fuzzifying Bryant-Webster spaces and M-fuzzifying join spaces are introduced. It is proved that the category of M-fuzzifying Bryant-Webster spaces and M-fuzzifying convexity preserving mappings can be characterized by the category of M-fuzzifying join spaces and M-fuzzifying join preserving mappings.

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M -fuzzifying Bryant-Webster spaces and M -fuzzifying join spaces

Abstract

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