Redefinition of the concept of fuzzy set based on vague partition from
  the perspective of axiomatization
  Based on the in-depth analysis of the essence and features of vague
phenomena, this paper focuses on establishing the axiomatical foundation of
membership degree theory for vague phenomena, presents an axiomatic system to
govern membership degrees and their interconnections. On this basis, the
concept of vague partition is introduced, further, the concept of fuzzy set
introduced by Zadeh in 1965 is redefined based on vague partition from the
perspective of axiomatization. The thesis defended in this paper is that the
relationship among vague attribute values should be the starting point to
recognize and model vague phenomena from a quantitative view.
