MCDM based on new membership and non-membership accuracy functions on trapezoidal-valued intuitionistic fuzzy numbers

被引：24

作者：

Sivaraman, Geetha ^{[1
]}

Vishnukumar, P. ^{[1
]}

Raj, M. Edwin Antony ^{[2
]}

机构：

[1] St Josephs Coll Autonomous, Dept Math, Tiruchirappalli, Tamilnadu, India

[2] K Ramakrishnan Coll Engn, Dept Math, Tiruchirappalli, Tamilnadu, India

来源：

SOFT COMPUTING | 2020年 / 24卷 / 06期

关键词：

Interval-valued intuitionistic fuzzy number; Trapezoidal-valued intuitionistic fuzzy numbers; Multi-criteria decision making; Index matrix; Accuracy function; COMPLETE RANKING;

D O I：

10.1007/s00500-019-04193-y

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Ranking of trapezoidal-valued intuitionistic fuzzy numbers (TVIFNs) plays an important role in multi-criteria decision making (MCDM) based on the TVIFNs. The main objective of this paper is to introduce new membership and non-membership accuracy functions on the classes of interval-valued intuitionistic fuzzy numbers (IVIFNs) and TVIFNs by which the orderings on IVIFNs and TVIFNs are done. This paper reveals the better part of the proposed accuracy functions than the existing or previous functions. Further, some operations on IVIFNs and TVIFNs are defined. Finally, a new method is proposed to solve the MCDM problem based on the multi-criteria trapezoidal-valued intuitionistic fuzzy index matrix and illustrated through numerical examples.

引用

页码：4283 / 4293

页数：11

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