Construction of the membership function of normal fuzzy numbers

Abstract

Abstract:A fuzzy real number [α, β, γ] is an interval around the real number β with the elements in the interval being partially present. Partial presence of an element in a fuzzy set is defined by the name membership function. According to the Randomness-Fuzziness Consistency Principle, two independent laws of randomness in [α, β] and [β, γ] are necessary and sufficient to define a normal fuzzy number [α, β, γ]. In this article, we have shown how to construct normal fuzzy number using daily temperature data.

Expressing Price of Perishable Goods Using Trapezoidal Fuzzy Numbers: A Case Study of Price of Fish in Guwahati

“…Similarly, daily stock prices of companies would always have a minimum and a maximum. In such cases in which data are invariable of the interval type, the classical theory of fuzzy sets looked from the viewpoint of superimposition of sets can describe the situation correctly ( [8], [9], [10]).…”