On symmetric algebras of fuzzy sets |
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| Institution: | 1. Department of Neurosurgery, The Jikei University School of Medicine Tokyo, Minato-ku, Tokyo, Japan;2. University California Irvine School of Medicine, Irvine, California, USA;3. Siemens Healthcare K.K., Advanced Therapies Innovation Department, Shinagawa-ku, Tokyo, Japan;1. Department of Chemistry, VIT, Vellore 632014, Tamilnadu, Vellore, India;2. Department of Chemistry, Arignar Anna Govt. Arts College for Women, Walajapet, Vellore, India |
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| Abstract: | In this paper all symmetric algebras of fuzzy sets taking values on a distributive directly nondecomposable lattice with universal bounds 1 and 0, and their classes with respect to automorphisms, are studied. Special attention is devoted to the case where fuzzy sets take values on 0, 1]. |
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