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Multi descriptions property is a fundamental property on membership functions of fuzzy sets, which has not been attended so far. The property suggests that not all membership functions of fuzzy sets can be viewed as a simple number in the range of 0 and 1. In fact, membership function of an element in a fuzzy set should be viewed as the sum of strength of the element that show each attribute which describes the fuzzy set. Therefore, fuzzy sets operation such as union, intersection anddoi:10.1109/fuzz-ieee.2012.6251325 dblp:conf/fuzzIEEE/LimC12a fatcat:5w2mxrvgtzhgfgq5cfshpdjlpy