Interval Distance for Similarity Measure Between Interval-valued Fuzzy Numbers
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초록
Fuzzy systems such as fuzzy linear systems, fuzzy differential equations, fuzzy linear programming, fuzzy decision making, and other topics are used to study various problems. In general, fuzzy numbers are used to represent the various data in fuzzy systems. Many researches have worked on that measure the distance or the different between two fuzzy numbers as follows: computing distance between two generalized fuzzy numbers, distance measuring between interval numbers, measuring between fuzzy numbers in the Euclidean space, measuring include vagueness, distance measuring between Gaussian type fuzzy numbers, measuring interval metric distance include ⍺-cut, and so on. Distance measure or different are very essential tool in a variety of fields. In this paper, we propose a method to measure the interval distance of two interval-valued fuzzy numbers. The method is based on the measure of interval distance on the research of M. A. Firozja which can apply to two interval fuzzy numbers. Also, we show the properties of interval distance and proofs of them. The interval distance between interval-valued fuzzy numbers can provide us with a useful way to measure the similarity for handling various fuzzy systems which represent the data as interval-valued fuzzy number.
Abstract
Fuzzy systems such as fuzzy linear systems, fuzzy differential equations, fuzzy linear programming, fuzzy decision making, and other topics are used to study various problems. In general, fuzzy numbers are used to represent the various data in fuzzy systems. Many researches have worked on that measure the distance or the different between two fuzzy numbers as follows: computing distance between two generalized fuzzy numbers, distance measuring between interval numbers, measuring between fuzzy numbers in the Euclidean space, measuring include vagueness, distance measuring between Gaussian type fuzzy numbers, measuring interval metric distance include ⍺-cut, and so on. Distance measure or different are very essential tool in a variety of fields. In this paper, we propose a method to measure the interval distance of two interval-valued fuzzy numbers. The method is based on the measure of interval distance on the research of M. A. Firozja which can apply to two interval fuzzy numbers. Also, we show the properties of interval distance and proofs of them. The interval distance between interval-valued fuzzy numbers can provide us with a useful way to measure the similarity for handling various fuzzy systems which represent the data as interval-valued fuzzy number.
참고문헌 (11)
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