Because of the complexity of decision-making environment, the uncertainty of fuzziness and the uncertainty of grey maybe coexist in the problems of multi-attribute group decision making. In this paper, we study the problems of multi-attribute group decision making with hybrid grey attribute data (the precise values, interval numbers and linguistic fuzzy variables coexist, and each attribute val...

This paper considers a biobjective transportation problem with various fuzzy objective functions coefficients. Fuzzy coefficients can be of different types such as triangular, trapezoidal, (semi) $L-R$, or flat (semi) $L-R$ fuzzy numbers. First, we convert the problem to a parametric interval biobjective transportation problem using $gamma$-cuts of fuzzy coefficients. Then, we consider a fix $g...

The main purpose of this paper is to provide a method of multi-criteria decision making that combines interval neutrosophic sets and TOPSIS involving the relative likelihood-based comparison relations of the performances of alternatives that are aggregated into interval numbers. A fuzzy cross-entropy approach is proposed to state the discrimination measure between alternatives and the absolute ...

We denote the real numbers by R and the positive real numbers by R+. Similarly we denote the rational numbers by Q and the positive rational numbers by Q+. We denote the natural numbers (including 0) by N. For all a and b in R with a < b, we denote the open interval between a and b by (a, b) and the closed interval by [a, b]. If S is a set, S∗ denotes the set of all finite sequences consisting ...

A purchasing inventory model with shortages where carrying cost, shortage cost, setup cost and demand quantity are considered as fuzzy numbers. The fuzzy parameters are transformed into corresponding interval numbers and then the interval objective function has been transformed into a classical multi-objective economic ordering quantity (EOQ) problem. To minimize the interval objective function...

Pedigree information which collected from 1979 to 2012 were used to study the genetic variability and population structure of Raeini Cashmere goat, taking kids born from 2009 to 2012 into account as reference population. Averages of inbreeding coefficients in whole and inbred populations were computed to be 0.04% and 4.41%, respectively. Considering the reference population, average inbreeding ...

In previous studies, it is pointed out that in several situations it is better to use interval-valued fuzzy numbers instead of triangular or trapezoidal fuzzy numbers. But till now, there is no method that deals with the sensitivity analysis of such linear programming problems in which all the parameters are represented by interval-valued fuzzy numbers. In this paper, a new method is proposed f...

The present paper aims to propose an alternative solution approach in obtaining the fuzzy optimal a linear programming problem with variables given as numbers minimum uncertainty. In this paper, problems is transformed into equivalent interval numbers. solutions these are then obtained help of technique. A set six random numerical examples has been solved using proposed approach.