Determination of entropy measures for the ordinal scale-based linguistic models

被引:33
作者
Farhadinia, B. [1 ]
机构
[1] Quchan Univ Adv Technol, Dept Math, Quchan, Iran
关键词
Additive and multiplicative linguistic terms; Entropy measure; Similarity measure; INTUITIONISTIC FUZZY-SETS; GROUP DECISION-MAKING; SIMILARITY MEASURE; DISTANCE; TERM; INFORMATION; METHODOLOGY; FUZZINESS; SYSTEM;
D O I
10.1016/j.ins.2016.06.002
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The Main objective of this contribution is to develop information about how entropy measures of linguistic terms can be designed. Two different ideas have been put forward to explain this designation: (1) The idea that comes from the seminal definition of fuzziness measure; (2) The idea of transforming similarity measures to entropy ones. To demonstrate the utility and effectiveness of the proposed entropy measures, an entropy-based approach of determining objective weights of attributes is developed to solve multiple attribute decision-making problems in the context of linguistic term sets. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:63 / 79
页数:17
相关论文
共 76 条
[1]   Multi-objective evolutionary design of granular rule-based classifiers [J].
Antonelli M. ;
Ducange P. ;
Lazzerini B. ;
Marcelloni F. .
Granular Computing, 2016, 1 (01) :37-58
[2]  
Apolloni B., 2016, GRANULAR COMPUT, V1, DOI [10.1007/s41066-016-0618-1, DOI 10.1007/S41066-016-0618-1]
[3]  
Bachmaier C., 2014, J DISCRETE ALGORITHM
[4]   Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets [J].
Burillo, P ;
Bustince, H .
FUZZY SETS AND SYSTEMS, 1996, 78 (03) :305-316
[5]   Determining objective weights with intuitionistic fuzzy entropy measures: A comparative analysis [J].
Chen, Ting-Yu ;
Li, Chia-Hang .
INFORMATION SCIENCES, 2010, 180 (21) :4207-4222
[6]   SICTQUAL: A fuzzy linguistic multi-criteria model to assess the quality of service in the ICT sector from the user perspective [J].
Cid-Lopez, Andries ;
Hornos, Miguel J. ;
Alberto Carrasco, Ramon ;
Herrera-Viedma, Enrique .
APPLIED SOFT COMPUTING, 2015, 37 :897-910
[7]   Orthopairs and granular computing [J].
Ciucci, Davide .
GRANULAR COMPUTING, 2016, 1 (03) :159-170
[8]  
[戴跃强 DAI Yueqiang], 2008, [中国管理科学, Chinese Journal of Management Science], V16, P145
[9]   DEFINITION OF NONPROBABILISTIC ENTROPY IN SETTING OF FUZZY SETS THEORY [J].
DELUCA, A ;
TERMINI, S .
INFORMATION AND CONTROL, 1972, 20 (04) :301-&
[10]   Consistency-Driven Automatic Methodology to Set Interval Numerical Scales of 2-Tuple Linguistic Term Sets and Its Use in the Linguistic GDM With Preference Relation [J].
Dong, Yucheng ;
Herrera-Viedma, Enrique .
IEEE TRANSACTIONS ON CYBERNETICS, 2015, 45 (04) :780-792