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On ranking fuzzy sets |
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| Affiliation: | 1. San Francisco State University, San Francisco, CA 94132 USA;2. VALTEX, 3366 Vernon Terrace, Palo Alto, CA 94303, USA;1. School of Water Resources, Indian Institute of Technology Kharagpur, Kharagpur, 721302, India;2. Department of Civil Engineering, Indian Institute of Technology Kharagpur, Kharagpur, 721302, India |
| Abstract: | A mathematical model describing a fuzzy ordering of fuzzy sets is suggested. In this model an induced fuzzy ordering is defined as the inverse image of the natural linear ordering on real numbers under natural fuzzy correspondence between fuzzy sets and real numbers. The transitivity property of the strict fuzzy ordering associated with the induced fuzzy ordering is established. |
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