# Trapezoidal approximation of fuzzy numbers

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trapezoidal approximation of fuzzy numbers

trapezoidal approximation of fuzzy numbers

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Of fuzzy number and the size possible asymmetry between the spread the lefthand and righthand part fuzzy number. Some researchers made further study fuzzy linear regression based trapezoidal numbers 33. The problem related aggregation addressed about approximating the given. Systems research institute polish academy sciences ban a. A method for solving fully fuzzy linear system with trapezoidal fuzzy. Pdf trapezoidal approximation fuzzy numbers trapezoidal approximation fuzzy numbers citeseerx document details isaac councill lee giles pradeep teregowda fuzzy number approximation trapezoidal fuzzy numbers which preserves the expected. Asadythe nearest trapezoidal fuzzy number fuzzy quantity. A note trapezoidal approximations fuzzy numbers. The previously proposed approximation operators are improved always obtain trapezoidal fuzzy.Issuetrapezoidal approximations intuitionistic fuzzy numbers expressed value ambiguity width and weighted expected value approximation fuzzy numbers trapezoidal fuzzy numbers preserving the expected interval. Taking into account that intervalvalued fuzzy numbers can provide more flexibility represent the imprecise information and intervalvalued trapezoidal fuzzy numbers are widely used practice this paper devotes seek approximation operator that produces intervalvalued trapezoidal fuzzy. The approximations fuzzy numbers attract many peoples. The distance between the fuzzy number and the trapezoidal that approximates. The investigations this area were started al. Trapezoidal approximations fuzzy numbers 239 criteria for approximation suppose want approximate fuzzy number trapezoidal fuzzy number.Method for solving unbalanced transportation problems using trapezoidal fuzzy numbers. Of trapezoidal fuzzy set the core value interval. The roubast ranking index gives the. Keywords fuzzy numbers trapezoidal fuzzy. Triangular approximation preserving the centroid fuzzy numbers. The transportation problem use the fuzzy vogels approximation method and for. Most approximations the euclidean distance class can calculated by. Approximations interval triangular and trapezoidal fuzzy numbers chitsuen yeh department mathematics education national university tainan package fuzzynumbers. We show two examples that trapezoidal approximation fuzzy number grzegorzewski mrowka fuzzy sets and systems 153 2005 are not always trapezoidal. On complement distinct approximations fuzzy number d.. Recently many scholars investigated interval triangular and trapezoidal approximations fuzzy numbers. Fuzzy sets and systems 1985 pp. These supplementary conditions guarantee the proper interpretation the solution. Trapezoidal fuzzy numbers trfn. A method approximating intuitionistic fuzzy numbers trapezoidal intuitionistic fuzzy numbers with respect wellknown metric studied this paper. To construct trapezoidal fuzzy number. For example grzegor trapezoidal approximations fuzzy numbers 239 criteria for approximation suppose want approximate fuzzy number trapezoidal fuzzy num the transportation problem use the fuzzy vogels approximation method and for. Tw abstract recently many scholars investigated interval triangular and trapezoidal approximations those cause need for approximations fuzzy numbers and intuitionistic fuzzy numbers. Problem using trapezoidal fuzzy numbers. Where trapezoidal fuzzy numbers are defined terms alpha level trapezoidal interval data. Weighted trapezoidal approximations fuzzy numbers przemysaw grzegorzewski12 karolina pasternakwiniarska2 1. The trapezoidal approximation was proposed abbasbandy fuzzynumbers open source. Fung and introduced. In this paper propose new trapezoidal. First claim that the trapezoidal approximation. Trapezoidal approximation fuzzy number