Corpus ID: 237453577

A class of fuzzy numbers induced by probability density functions and their arithmetic operations

  title={A class of fuzzy numbers induced by probability density functions and their arithmetic operations},
  author={Han Wang and Chuang Zheng},
  • Han Wang, Chuang Zheng
  • Published 30 August 2021
  • Mathematics
In this paper we are interested in a class of fuzzy numbers which is uniquely identified by their membership functions. The function space, denoted by Xh,p, will be constructed by combining a class of nonlinear mappings h (subjective perception) and a class of probability density functions (PDF) p (objective entity), respectively. Under our assumptions, we prove that there always exists a class of h to fulfill the observed outcome for a given class of p. Especially, we prove that the common… 

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