Multi-attribute decision making using grey relational projection method based on interval type-2 trapezoidal fuzzy numbers

被引：16
|
作者：
Touqeer, Muhammad [1 ]
Hafeez, Abid [1 ]
Arshad, Misbah [2 ]
机构：
[1] Univ Engn & Technol, Dept Basic Sci, Taxila, Pakistan
[2] COMSATS Univ, Dept Math, Sahiwal, Pakistan
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2020年 / 38卷 / 05期
关键词：
Multi-attribute decision making (MADM); interval type-2 trapezoidal fuzzy number (IT2TFN); Information Entropy method (IEM); grey relational projection method (GRPM); SELECTION; OPERATORS; MODELS; RISK; SETS;
D O I：
10.3233/JIFS-179684
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Here we present a method to deal with multi-attribute decision making(MADM) problems when the attribute values are modeled in the form of interval type-2 trapezoidal fuzzy numbers (IT2FNs), and the attribute weights are completely unknown. Grey Relation Projection Method (GRPM), which is a combination of "grey relational analysis method" and the "projection method" is employed for ranking the alternatives. The linguistic information is modeled in the form of "interval type-2 trapezoidal fuzzy numbers" (IT2TFN) which are able to capture both the intra personal and inter personal uncertainties associated with a linguistic term. Information Entropy Method (IEM) is used for calculating unknown attribute weights. Lastly, an illustrative example is provided as a verification of the developed approach.
引用
收藏
页码：5979 / 5986
页数：8
相关论文
共 50 条
  • [21] Dynamic Multi-Attribute Group Decision Making Model Based on Generalized Interval-Valued Trapezoidal Fuzzy Numbers
    Lin, Wei
    Yan, Guangle
    Shi, Yuwen
    CYBERNETICS AND INFORMATION TECHNOLOGIES, 2014, 14 (04) : 11 - 28
  • [22] A novel method for solving multi-attribute decision making by using expected value under interval type-2 fuzzy environment
    Mei, Kongchun
    Zhang, Fengxiao
    Mao, Junjun
    Wu, Tao
    2018 15TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION (ICARCV), 2018, : 1339 - 1344
  • [23] A Combined Method for Determining the Weights of Interval Grey Numbers in Multi-Attribute Decision Making Problems
    Luo Dang
    Luo Dixin
    Yun Huiping
    PROCEEDINGS OF THE 15TH INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING AND ENGINEERING MANAGEMENT, VOLS A-C, 2008, : 17 - 21
  • [24] A novel approach to multi attribute group decision making based on trapezoidal interval type-2 fuzzy soft sets
    Zhang, Zhiming
    Zhang, Shouhua
    APPLIED MATHEMATICAL MODELLING, 2013, 37 (07) : 4948 - 4971
  • [25] Trigonometric function-driven interval type-2 trapezoidal fuzzy information measures and their applications to multi-attribute decision-making
    Pei, Lidan
    Cheng, Fujing
    Guo, Shuyan
    Chen, A-min
    Jin, Feifei
    Zhou, Ligang
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2024, 135
  • [26] Fuzzy multi-attribute group decision making method with incomplete weight information under interval type-2 fuzzy environment
    Gong, Yanbing
    Feng, Lanping
    Liu, Gaofeng
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 27 (01) : 307 - 316
  • [27] Multi-attribute decision making method based on intuitionistic fuzzy grey sets
    Gui, Mei
    Ding, Xiaoyang
    Zhang, Chengyi
    ADVANCED MATERIALS AND PROCESSES II, PTS 1-3, 2012, 557-559 : 2070 - 2074
  • [28] Exponential operations for intuitionistic fuzzy numbers and interval numbers in multi-attribute decision making
    Xunjie Gou
    Zeshui Xu
    Fuzzy Optimization and Decision Making, 2017, 16 : 183 - 204
  • [29] A multi-attribute group decision-making method based on weighted geometric aggregation operators of interval-valued trapezoidal fuzzy numbers
    Liu, Peide
    Jin, Fang
    APPLIED MATHEMATICAL MODELLING, 2012, 36 (06) : 2498 - 2509
  • [30] A Multi-attribute Decision Making Method Based on Dynamic Triangle Fuzzy Numbers
    Fu, Sha
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2016, 54 (03): : 59 - 69
12345