Axiomatic of Fuzzy Complex Numbers

Axiomatic of Fuzzy Complex Numbers

Fuzzy numbers are fuzzy subsets of the set of real numbers satisfying some additional conditions. Fuzzy numbers allow us to model very difficult uncertainties in a very easy way. Arithmetic operations on fuzzy numbers have also been developed, and are based mainly on the crucial Extension Principle. When operating with fuzzy numbers, the results of our calculations strongly depend on the shape ...

Multi-Fuzzy Complex Numbers and Multi-Fuzzy Complex Sets

This paper presents a method to construct more general fuzzy complex numbers and sets from ordinary fuzzy complex numbers by introduced the ordered sequences of membership functions. It is concluded that multifuzzy complex set is an extension of Buckley fuzzy complex set. Also, two types of multi-fuzzy complex numbers based on the forms z x iy = + and z re = θ are investigated. Multi-Fuzzy Comp...

Axiomatic Description of the Real Numbers

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 ...

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...