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...

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

On interactive fuzzy numbers

In this paper we will introduce a measure of interactivity between marginal distributions of a joint possibility distribution C as the expected value of the interactivity relation between the γ-level sets of its marginal distributions.