Oriented Fuzzy Numbers vs. Fuzzy Numbers

Calculator for Fuzzy Numbers

‎This paper has been discussed and reviewed two R packages FuzzyNumbers and Calculator.LR.FNs‎. ‎These packages have the ability of installation on R software‎, ‎and in fact they propose some useful instruments and functions to the users for draw and easily using arithmetic operators on LR fuzzy numbers‎. ‎For the convenience of the readers‎, ‎the proposed methods and functions have been presen...

CREDIBILITY THEORY ORIENTED PREFERENCE INDEX FOR RANKING FUZZY NUMBERS

This paper suggests  a novel approach for ranking the most applicable fuzzy numbers, i.e.  $LR$-fuzzy numbers. Applying the  $alpha$-optimistic values of a fuzzy number, a preference criterion is proposed for ranking fuzzy numbers using the Credibility index. The main properties of the proposed  preference criterion  are also studied.  Moreover, the proposed method is   applied for ranking fuzz...

On generalized fuzzy numbers

This paper first improves Chen and Hsieh’s definition of generalized fuzzy numbers, which makes it the generalization of definition of fuzzy numbers. Secondly, in terms of the generalized fuzzy numbers set, we introduce two different kinds of orders and arithmetic operations and metrics based on the λ-cutting sets or generalized λ-cutting sets, so that the generalized fuzzy numbers are integrat...

Extend a ranking method of trapezoidal fuzzy numbers to all fuzzy numbers by a weighting functions

Recently Abbasbandy and Hajjari (Computers and Mathematics with Applications57 (2009) 413-419) have introduced a ranking method for the trapezoidalfuzzy numbers. This paper extends theirs method to all fuzzy numbers,which uses from a defuzzication of fuzzy numbers and a general weightingfunction. Extended method is interesting for ranking all fuzzy numbers, and itcan be applied for solving and ...

Addition two generalized fuzzy numbers