Operations and measurement of interval-valued fuzzy numbers based on the method of structured element

Si-zong Guo () and Tao Song
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Si-zong Guo: Liaoning Technical University
Tao Song: Liaoning Technical University

Fuzzy Information and Engineering, 2011, vol. 3, issue 1, 101-110

Abstract: Abstract In this paper we introduced the definition of interval-valued fuzzy numbers based on the definition of interval-valued fuzzy set and the operations of real fuzzy numbers by extension principle, defined the operations of interval-valued fuzzy numbers and their distance, and gave their structured element representations and operations of them by using the fuzzy structured element method. The work of this paper is an expansion of the research of real fuzzy numbers.

Keywords: Interval-valued fuzzy set; Interval-valued fuzzy number; Fuzzy structured element; Mathematical operation of fuzzy numbers; Distance function (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s12543-011-0069-6

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