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

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Fuzzy Information and Engineering

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.

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Authors and Affiliations

  1. Institute of Mathematics and Systems Science, Liaoning Technical University, Fuxin, Liaoning, 123000, P.R.China

    Si-zong Guo & Tao Song

Authors
  1. Si-zong Guo
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  2. Tao Song
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Correspondence to Si-zong Guo.

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Guo, Sz., Song, T. Operations and measurement of interval-valued fuzzy numbers based on the method of structured element. Fuzzy Inf. Eng. 3, 101–110 (2011). https://doi.org/10.1007/s12543-011-0069-6

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  • DOI: https://doi.org/10.1007/s12543-011-0069-6

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