On some weaker forms of fuzzy continuous and fuzzy open mappings on fuzzy topology spaces
TL;DR: Some weaker forms of fuzzy continuous and fuzzy open maps between fuzzy topological spaces are studied, along with the introduction and investigations of a new class of non-fuzzy continuous maps.
About: This article is published in Fuzzy Sets and Systems.The article was published on 1989-08-01. It has received 30 citations till now. The article focuses on the topics: Fuzzy set operations & Fuzzy number.
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TL;DR: Different characterizations of semi-continuous and semi-closed mappings between fuzzy topological spaces are studied and fuzzy semi-connectedness is introduced and studied to some extent.
57 citations
TL;DR: The strong semi-interior and strong semiclosure of a fuzzy set are introduced, Kuratowski's 14-sets theorem of general topology is generalized, and fuzzy strongly semicontinuous mappings are introduced.
38 citations
Proceedings Article•
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TL;DR: A fuzzy segment model is proposed, based on a conjecture that line-like shapes only contribute to a perception of convergence in their near neighborhood, to compute a convergence image, which can be searched for one absolute, or one or more relative, strongest points of convergence.
Abstract: This work considers the problem of discovering areas of convergence of line-like shapes in an image. The motivating application is to use the convergence of the blood vessel network to automatically locate the optic nerve in an ocular fundus image. A fuzzy segment model is proposed, based on a conjecture that line-like shapes only contribute to a perception of convergence in their near neighborhood. Using this model, a voting-type method is described to compute a convergence image, which can be searched for one absolute, or one or more relative, strongest points of convergence. Results are presented for twenty ocular fundus images, with a 65% success rate for finding the optic nerve.
32 citations
TL;DR: Good definitions of almost, light and near compactness in L-fuzzy topological spaces where L is a fuzzy lattice are introduced.
28 citations
TL;DR: Several characterizations and certain properties of these fuzzy multifunctions along with their mutal relationships are established and attempts are made to correlate them with fuzzy lower and upper semi-continuous multifunctions.
24 citations
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