Construction of A New Fuzzy Number by Means of Hexadecagonal Shapes due to Uncertainty and its Applications

Abstract

The decision data of human judgements with preferences are often vague so that newlinethe usual ways of using crisp values are inadequate in many real life situations. newlineAlso, using fuzzy numbers such as triangular, trapezoidal, pentagonal, newlineHexagonal, octagonal, Decagonal, Triskaidecagonal are not suitable in few cases newlinewhere the uncertainties arises in sixteen different points. Therefore, newlineHexadecagonal Fuzzy Number (HDFN) was introduced. The arithmetic newlineoperations like addition, subtraction, multiplication and division of newlineHexadecagonal Fuzzy number are defined based on and#945;and#8722;cut method. Furthermore newlineit was extended to an Intuitionistic Hexadecagonal Fuzzy number and Interval newlinevalued Hexadecagonal Fuzzy number. Also, the linguistic terms can be newlineexpressed in Hexadecagonal fuzzy numbers. A new model (HDFRM) was newlineconstructed to find the ranking of the attributes for the decision making in fuzzy newlineenvironment. The proposed method, Hexadecagonal fuzzy relational maps was newlineapplied in decision making problem for industrial Robot selection considering newlineboth objective and subjective criteria.