Ranking-Intuitionistic Fuzzy Numbers

Mitchell, H. B.

doi:10.1142/s0218488504002886

Cited by 140 publications

(61 citation statements)

References 21 publications

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“…However, there is no unique best approach exists. In [18] proposed a ranking method to order triangular intuitionistic fuzzy numbers by accepting a statistical viewpoint and interpreting each IFN as ensemble of ordinary fuzzy numbers. Ye [28] presented the notations of simplified neutrosophic sets and gave the operational laws of simplified neutrosophic sets.…”

Section: Related Workmentioning

confidence: 99%

Proposed Model for Evaluating Information Systems Quality Based on Single Valued Triangular Neutrosophic Numbers

Aal¹,

Ellatif²,

Hassan³

2018

IJMSC

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One of the most important reasons for information systems failure is lack of quality. Information Systems Quality (ISQ) evaluation is important to prevent the lack of quality. ISQ evaluation is one of the most important Multi-Criteria Decision Making (MCDM) problems. The concept of Single Valued Triangular Neutrosophic Numbers (SVTrN-numbers) is a generalization of fuzzy set and intuitionistic fuzzy set that make it is the best fit in representing indeterminacy and uncertainty in MCDM. This paper aims to introduce an ISQ evaluation model based on SVTrN-numbers with introducing two types of evaluating and ranking methods. The results indicated that the proposed model can handle ill-known quantities in evaluating ISQ. Also by analyzing and comparing results of ranking methods, the results indicated that each method has its own advantage that make the proposed model introduces more than one option for evaluating and ranking ISQ.

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Section: Related Workmentioning

confidence: 99%

Proposed Model for Evaluating Information Systems Quality Based on Single Valued Triangular Neutrosophic Numbers

Aal¹,

Ellatif²,

Hassan³

2018

IJMSC

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“…P. Grzegorzewski et.al 15 , H.B. Mitchell et.al 16 , G. Nayagam et.al 17 , H.M. Nehi et.al 18 , S. Rezvani et.al 19 have been employed concept of intuitionistic fuzzy number in multi-attribute decision making(MADM) problem .So indeterminate information should be considered in decision making process. A few research work has been done on neutrosophic optimization in the field of structural optimization.…”

Section: Introductionmentioning

confidence: 99%

Optimization of Welded Beam with Imprecise Load and Stress by Parameterized Neutrosophic Optimization Technique

Sarkar¹,

Roy²

2017

jusps-A

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This paper develops a solution procedure of Neutrosophic Optimization (NSO) to solve optimum welded beam design with inexact co-efficient and resources. Interval approximation method is used here to convert the imprecise co-efficient which is a triangular neutrosophic number to an interval number. We transform this interval number to a parametric interval valued functional form and then solve this parametric problem by NSO technique. Usually interval valued optimization consist of two level mathematical programs, but a parametric interval valued optimization in neutrosophic environment is direct approach to find the objective function, this is the main advantage. In this paper we have considered a welded beam design with cost of welding as objective and the maximum shear stress in the weld group, maximum bending stress in the beam, buckling load of the beam and deflection at the tip of a welded steel beam as constraints .Numerical example is given here to illustrate this structural model through this approximation method.

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“…Mitchell [11] proposed a ranking method to order triangular intuitionistic fuzzy numbers (TIFNs) by accepting a statistical viewpoint and interpreting each IFN as ensemble of ordinary fuzzy numbers. Ranking of TIFN on the basis of value index to ambiguity index is proposed by Li [9] and solved a multiattribute decision-making problem.…”

Section: Introductionmentioning

confidence: 99%

A new approach for ranking of intuitionistic fuzzy numbers using a centroid concept

Prakash¹,

Suresh²,

Vengataasalam³

2016

Math Sci

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Ranking of intuitionistic fuzzy numbers is a difficult task. Many methods have been proposed for ranking of intuitionistic fuzzy numbers. In this paper we have ranked both trapezoidal intuitionistic fuzzy numbers and triangular intuitionistic fuzzy numbers using the centroid concept. Some of the properties of the ranking function have been studied. Also, comparative examples are given to show the effectiveness of the proposed method.Keywords Intuitionistic fuzzy set Á Trapezoidal intuitionistic fuzzy number Á Triangular intuitionistic fuzzy number Á Ranking of trapezoidal intuitionistic fuzzy number Á Centroid of an intuitionistic fuzzy number

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Ranking-Intuitionistic Fuzzy Numbers

Cited by 140 publications

References 21 publications

Proposed Model for Evaluating Information Systems Quality Based on Single Valued Triangular Neutrosophic Numbers

Proposed Model for Evaluating Information Systems Quality Based on Single Valued Triangular Neutrosophic Numbers

Optimization of Welded Beam with Imprecise Load and Stress by Parameterized Neutrosophic Optimization Technique

A new approach for ranking of intuitionistic fuzzy numbers using a centroid concept

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