期刊
KNOWLEDGE-BASED SYSTEMS
卷 91, 期 -, 页码 16-31出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.knosys.2015.09.026
关键词
Partially ordered sets; Fuzzy sets; Hesitant fuzzy sets; Rough sets; Three-way decision spaces; Three-way decisions
资金
- National Natural Science Foundation of China [11571010, 61179038]
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.
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