This article proposes a new ranking method for ordering Triangular Intuitionistic Fuzzy Number (TIFN) based on area of both membership and nonmembership parts of the number. Firstly, the membership part is split into two regions. Then the area between the midpoints of the centroids of the membership part is calculated to order the TIFN. Later on, the same procedure is adopted to calculate the a...

in this paper, we propose a new approach for ranking all fuzzynumbers based on revising the ranking method proposed by ezzati et al. cite{ezzati}.to this end, we present and investigate some properties of the proposed approach indetails. finally, to illustrate the advantage of the proposed method, it is applied to several groups of fuzzy numbers and the results are compared with other related a...

This paper addresses the bullwhip effect in a multi-stage supply chain, where all demands, lead times, and ordering quantities are fuzzy. To simulate the bullwhip effect, a modified Hong Fuzzy Time Series is presented by adding a Genetic Algorithm (GA) module for gaining of a window basis. Next, a back propagation neural network is used for defuzzification. The model can forecast the trends in ...

The stochastic ordering of random variables is extended to the cases where the available data are imprecise quantities, rather than crisp. To do this, using some elements of fuzzy set theory, we suggest the fuzzy reversed hazard rate and fuzzy mean inactivity time functions and apply them to construct some new fuzzy stochastic orders for ranking fuzzy random variables. In addition, we study the...

Orderings and rankings of fuzzy sets have turned out to play a fundamental role in various disciplines. Throughout the previous 25 years, a lot a different approaches to this issue have been introduced, ranging from rather simple ones to quite exotic ones. The aim of this paper is to present a new framework for comparing fuzzy sets with respect to a general class of fuzzy orderings. This approa...

In this paper, we introduce the concept of generalised inverse (ginverse) for intuitionistic fuzzy matrices (IFMs). We define minus partial ordering and studied several properties of it. Here we have shown that the minus partial ordering is a partial ordering for IFMs.

In the literature, there are a lot of methods concerning the problem of ordering the interval numbers k , ~ ] , [y,g], ... (', ') or the fuzzy ones A, B , ... (see 4, and for a n overview of methods). All of these methods can be classified a s belonging t o two different approaches. (i) Ordering t h e crisp or the fuzzy intervals using binary order relations: [ c , ~ ] 4 [ y , ~ ] , A 5 B, .......

This paper presents a methodology for integrating common-sense and qualitative simulation of physical systems by the use of Fuzzy Sets . This allows a semi-quantitative extension to qualitative simulation that provides three significant advantages over existing techniques . Firstly, it allows a more detailed description of physical variables, through an arbitrary, but finite, discretisation of ...