Three-way decision spaces based on partially ordered sets and three-way decisions based on hesitant fuzzy sets

被引：84
作者：
Hu, Bao Qing [1 ,2 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
[2] Wuhan Univ, Computat Sci Hubei Key Lab, Wuhan 430072, Peoples R China
来源：
KNOWLEDGE-BASED SYSTEMS | 2016年 / 91卷
基金：
中国国家自然科学基金;
关键词：
Partially ordered sets; Fuzzy sets; Hesitant fuzzy sets; Rough sets; Three-way decision spaces; Three-way decisions; THEORETIC ROUGH SETS; LINGUISTIC TERM SETS; SIMILARITY MEASURES; MODEL; OPERATORS; APPROXIMATIONS; DISTANCE;
D O I：
10.1016/j.knosys.2015.09.026
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Three-way decisions on three-way decision spaces are based on fuzzy lattices, i.e. complete distributive lattices with involutive negators. However, now some popular structures, such as hesitant fuzzy sets and type-2 fuzzy sets, do not constitute fuzzy lattices. It limits applications of the theory of three-way decision spaces. So this paper attempts to generalize measurement on decision conclusion in three-way decision spaces from fuzzy lattices to partially ordered sets. First three-way decision spaces and three-way decisions are discussed based on general partially ordered sets. Then this paper points out that the collection of non-empty subset of [0,1] and the family of hesitant fuzzy sets are both partially ordered sets. Finally this paper systematically discusses three-way decision spaces and three-way decisions based on hesitant fuzzy sets and interval-valued hesitant fuzzy sets and obtains many useful decision evaluation functions. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：16 / 31
页数：16
相关论文
共 68 条
[1]   INTERVAL VALUED INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, K ;
GARGOV, G .
FUZZY SETS AND SYSTEMS, 1989, 31 (03) :343-349
[2]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[3]   Aggregation functions for typical hesitant fuzzy elements and the action of automorphisms [J].
Bedregal, Benjamin ;
Reiser, Renata ;
Bustince, Humberto ;
Lopez-Molina, Carlos ;
Torra, Vicenc .
INFORMATION SCIENCES, 2014, 255 :82-99
[4]   Interval-valued hesitant preference relations and their applications to group decision making [J].
Chen, Na ;
Xu, Zeshui ;
Xia, Meimei .
KNOWLEDGE-BASED SYSTEMS, 2013, 37 :528-540
[5]   Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis [J].
Chen, Na ;
Xu, Zeshui ;
Xia, Meimei .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (04) :2197-2211
[6]   Decision-theoretic three-way approximations of fuzzy sets [J].
Deng, Xiaofei ;
Yao, Yiyu .
INFORMATION SCIENCES, 2014, 279 :702-715
[7]   Approximate distribution reducts in inconsistent interval-valued ordered decision tables [J].
Du, Wen Sheng ;
Hu, Bao Qing .
INFORMATION SCIENCES, 2014, 271 :93-114
[8]   ROUGH FUZZY-SETS AND FUZZY ROUGH SETS [J].
DUBOIS, D ;
PRADE, H .
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 1990, 17 (2-3) :191-209
[9]   A series of score functions for hesitant fuzzy sets [J].
Farhadinia, B. .
INFORMATION SCIENCES, 2014, 277 :102-110
[10]   Distance and similarity measures for higher order hesitant fuzzy sets [J].
Farhadinia, B. .
KNOWLEDGE-BASED SYSTEMS, 2014, 55 :43-48
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