Open AccessThe Complementary Membership Function of n-Trapezoidal Shape Fuzzy Numbers
Author(s) -
S Muthu Vijaya Pandian,
Rajkumar Arthur,
Sudha Easwari Janakaran
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/561/1/012043
Subject(s) - mathematics , membership function , fuzzy number , generalization , function (biology) , interval (graph theory) , signed distance function , fuzzy logic , fuzzy set , distributive property , discrete mathematics , trapezoidal rule , combinatorics , mathematical analysis , pure mathematics , algorithm , computer science , artificial intelligence , evolutionary biology , numerical integration , biology
Fuzzy numbers are based on membership function such as the trapezoidal shape of the trapezoidal fuzzy number have one interval with two uncertain intervals. A crisp value of trapezoidal fuzzy number is not sufficient when uncertainty arises in more than four intervals such as the hexagonal, octagonal, decagonal, dodecagonal, etc., In this paper we take Dubois Prade left and right reference function with distributive function and complementary function respectively and find the generalization of the membership function of n-trapezoidal shapes uncertain numbers in a very simple way. Also illustrated with few examples also.