Fuzzy minimal structure and fuzzy minimal vector spaces |
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| Institution: | 1. Azad University, Nour, Iran;2. Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran;3. Azad University, Sari, Iran;1. FaMAF, Universidad Nacional de Córdoba, 5000 Córdoba, Argentina;2. Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile;3. Department of Mathematics, Faculty of Education, Ibaraki University, Mito 310-8512, Japan;1. Asst.Prof / Mathematics, L.R.G.Govt. Arts College for Women, Tirupur-4;2. Asst.Prof / Mathematics, Sree Narayana Guru College, Coimbatore -105;1. Institute for Software Technology, Graz University of Technology, Austria;2. Department of Computer Science, Kyonggi University, Republic of Korea;3. School of Computer Science, Carleton University, Canada;4. Département d''Informatique, Université Libre de Bruxelles, Belgium;5. National Institute of Informatics, Tokyo, Japan;6. JST, ERATO, Kawarabayashi Large Graph Project, Japan;7. College of Science and Engineering, American University of Armenia, Armenia |
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| Abstract: | This paper deals with fuzzy minimal spaces as a new generalization of the notion of fuzzy topology. Moreover, we present the continuity of fuzzy functions in this setting. We also introduce and investigate the class of fuzzy minimal vector spaces as a generalization of the class of fuzzy topological vector spaces. |
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