Using interval arithmetic for providing a MADM approach

Journal Title: Journal of Fuzzy Extension & Applications - Year 2020, Vol 1, Issue 1

Abstract

The VIKOR method was developed for Multi-Criteria Decision Making (MCDM). It determines the compromise ranking list and the compromise solution obtained with the initial weights. This method focuses on ranking and selecting from a set of alternatives in the presence of conflicting criteria. It introduces the multi-criteria ranking index based on the particular measure of ‘‘closeness” to the “Ideal” solution. The aim of this paper is to extend the VIKOR method for decision making problems with interval number. The extended VIKOR method’s ranking is obtained through comparison of interval numbers and for doing the comparisons between intervals. In the end, a numerical example illustrates and clarifies the main results developed in this paper.

Authors and Affiliations

Hossein Jafari, Mohammad Ehsanifar

Keywords

Related Articles

Some similarity measures of rough interval Pythagorean fuzzy sets

In this paper, we expose cosine, jaccard and dice similarity measures and rough interval Pythagorean mean operator. Some of the important properties of the defined similarity measures have been established. Then the prop...

Assessment and linear programming under fuzzy conditions

The present work focuses on two directions. First, a new fuzzy method using triangular / trapezoidal fuzzy numbers as tools is developed for evaluating a group’s mean performance, when qualitative grades instead of numer...

A study of maximal and minimal ideals of n-refined neutrosophic rings

If R is a ring, then Rn(I) is called a refined neutrosophic ring. Every AH-subset of Rn(I) has the form P = ∑ni=0 p i Ii= {a0+a1I+⋯+anIn: ai∈p i}, where p i are subsets of the classical ring R. The objective of this pape...

Prediction of Pakistan super league-2020 using TOPSIS and fuzzy TOPSIS methods

We lived in uncertain word and prediction in this uncertain word is a major issue. Prediction in cricket is very complex because there are many factors which are effecting on results. Weather, pitch, Conditions, Home gro...

An overview of data envelopment analysis models in fuzzy stochastic environments

One of the appropriate and efficient tools in the field of productivity measurement and evaluation is data envelopment analysis, which is used as a non-parametric method to calculate the efficiency of decision-making uni...

Download PDF file
  • EP ID EP692641
  • DOI 10.22105/JFEA.2020.247946.1004
  • Views 259
  • Downloads 0

How To Cite

Hossein Jafari, Mohammad Ehsanifar (2020). Using interval arithmetic for providing a MADM approach. Journal of Fuzzy Extension & Applications, 1(1), -. https://europub.co.uk/articles/-A-692641