Type 1 And Type 2 Triskaidecagonal Fuzzy Number and Its Applications in Optimization Network

Abstract

The resolutions of human choices with tendencies are consistently questionable. newlineThe standard strategies for using crisp characteristics are inadequate in various newlineauthentic conditions. Likewise, using fuzzy numbers such as triangular, newlinetrapezoidal, pentagonal, hexagonal, octagonal, dodecagonal, are not sensible in newlinecouple of circumstances where the uncertanity rises in thirteen different points. newlineTherefore, Triskaidecagonal Fuzzy Number (TDFN) was introduced. The newlinearithmetic operations like addition, subtraction, multiplication, division, inverse, newlinesquare root of Triskaidecagonal Fuzzy number are defined based on and#945;and#8722;cut newlinemethod. Moreover it was stretched out to an Intuitionistic Triskaidecagonal Fuzzy newlinenumber and Interval valued Triskaidecagonal Fuzzy number. Also, the linguistic newlineterms can be expressed in Triskaidecagonal fuzzy number. newlineTriskaidecagonal Fuzzy number was applied in sequencing problem. In newlinesequencing problem the values were defuzzified by Yager s Ranking index. Then newlinethe crisp sequencing problem was measured by regular sequencing algorithm for newlinefinding the optimal sequence and minimum elapsed time which is exhibited with newlineexamples. The Intuitionistic Triskaidecagonal Fuzzy number, it separates the newlinepositive and negative evidence for the membership of an element in a set, was newlineapplied in door bell to find the failure rate using Fault tree analysis. The Interval newlinevalued Triskaidecagonal Fuzzy number was applied in Multi cylinder Marine newlinemain engine in order to find the failure rate using Fault tree analysis. The distance newlinebetween two Interval valued Triskaidecagonal fuzzy numbers was introduced and newlineit was verified. newlineThe distance functions are signed distance, euclidean distance and centroid newlinedistance for two interval valued Triskaidecagonal fuzzy number was verified through fault tree analysis. Type 2 Triskaidecagonal Fuzzy number was newlineintroduced with arithmetic operations includes union and intersection. It imparts newlinethe ability to perform for approach a higher level of ambiguity. Type 2 newlineTriskaidecagonal fuzzy number wer