Possibility calculation model of symmetric distribution interval number and its ranking method

GONG Rizhao, LI Shiyin, TAN Kexing

Systems Engineering - Theory & Practice ›› 2021, Vol. 41 ›› Issue (9) : 2428-2446.

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Systems Engineering - Theory & Practice ›› 2021, Vol. 41 ›› Issue (9) : 2428-2446. DOI: 10.12011/SETP2019-2806

Possibility calculation model of symmetric distribution interval number and its ranking method

  • GONG Rizhao, LI Shiyin, TAN Kexing
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Abstract

In interval number decision theory, it is a dual requirement for theoretical development and objective reality to incorporate the value distribution information of decision parameters into the concept connotation of interval number. Based on the connotation of the relationship between the number of intervals, this paper defines the concept of the number of intervals with distribution, and constructs the definition of the possibility degree of intervals with distribution and its general calculation model. When the two interval numbers are the same as the uniform distribution interval number, or one is the uniform distribution interval number and the other is the triangular distribution interval number, or the same triangular distribution interval number, the paper gives its' specific probability calculation formula. Then, several new properties of the number of distribution intervals and their possible degrees are given, and the relevant concepts proposed by scholars in the past are corrected. In order to solve the problem of interval number sorting, the optimal number sorting method is modified, and the equivalence between the optimal number sorting method and the median value sorting method of symmetric distribution interval number is revealed. Through the example calculation, the scientific validity and validity of the theory and method are verified, and the interval number decision theory is further improved, which has better application value.

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interval number with distribution / possibility degree / ranking method

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TAN Kexing , GONG Rizhao , LI Shiyin. Possibility calculation model of symmetric distribution interval number and its ranking method. Systems Engineering - Theory & Practice, 2021, 41(9): 2428-2446 https://doi.org/10.12011/SETP2019-2806

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Funding

National Social Science Foundation of China (18BTJ036)
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