1673-159X

CN 51-1686/N

基于值和左、右偏离度的模糊数排序

A Theoretical Approach to Ranking of Fuzzy Numbers Using Value and Left-right Deviation Degree

  • 摘要: 基于模糊数的值和左、右偏离度,提出了一种新的模糊数排序方法,并引入参数 \lambda 来衡量排序指标中是否包含偏离度。研究了该排序方法的性质,如自反性,反对称性和传递性等。最后,用数值例子说明所提出的排序方法克服了其他方法的某些局限性,具有一定的优势。

     

    Abstract: This paper proposes a new fuzzy number ranking method based on fuzzy number value and left and right deviation degree, and introduces parameters λ to measure whether the ranking index contains deviation degree. Secondly, the properties of the sorting method, such as reflexivity, antisymmetry and transitivity, are studied. Finally, numerical examples are illustrated and the result show that the proposed ranking method can overcome some limitations of other met-hods and has certain advantages.

     

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