Ordering L-R type Generalized Trapezoidal Fuzzy Numbers

G.Uthra; K.Thangavelu; R.M.Umamageswari

doi:https://doi.org/10.14445/22315373/IJMTT-V52P518

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 52 | Number 2 | Year 2017 | Article Id. IJMTT-V52P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P518

Ordering L-R type Generalized Trapezoidal Fuzzy Numbers

G.Uthra, K.Thangavelu, R.M.Umamageswari

Citation :

G.Uthra, K.Thangavelu, R.M.Umamageswari, "Ordering L-R type Generalized Trapezoidal Fuzzy Numbers," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 2, pp. 132-135, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P518

Abstract

Methods for ordering fuzzy numbers play a vital role as decision criteria. In fuzzy literature there are many techniques for ordering fuzzy numbers. In practice, some special L-R fuzzy numbers, like triangular fuzzy number, the Gaussian fuzzy number, Cauchy fuzzy number and Trapezoidal fuzzy number are widely used various areas to deal with many vague information. Based on the recent developments in research of fuzzy number ranking,the paper extends thenew ranking approach to rank and orderGeneralized L-R Fuzzy Numbers. The purpose of this paper is to introduce a general frame work for comparing fuzzy sets with respect to fuzzy orderings in a gradual way. The approach proposed herein is relatively simple in terms of computational efforts and is efficient when ranking a large quantity of fuzzy numbers.

Keywords

Triangular fuzzy number, the Gaussian fuzzy number, Cauchy fuzzy number and Trapezoidal fuzzy.

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