Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/64586
Title: On two novel types of three-way decisions in three-way decision spaces
Authors: Hu, BQ
Wong, H 
Yiu, KFC 
Keywords: Partially ordered sets
Fuzzy sets
Interval-valued fuzzy sets
Rough sets
Three-way decision spaces
Three-way decisions
Issue Date: 2017
Publisher: Elsevier
Source: International journal of approximate reasoning, 2017, v. 82, p. 285-306 How to cite?
Journal: International journal of approximate reasoning 
Abstract: In order to explore a unified theory of three-way decisions proposed by Yao, Hu introduced three-way decision spaces through an axiomatic method, established the corresponding three-way decisions, and proposed two open problems on the changes of decision parameters in definition of three-way decisions. For answering these two questions, this paper firstly discusses the parameter changes in the assumptions from 0 <= beta < alpha <= 1 to 0 <= beta <= alpha <= 1 and inequality E(A)(x) <= beta in the rejection region is replaced by E(A)(x) < beta. Under the circumstance, this paper introduces new type of three-way decisions in three-way decision spaces and discusses properties of the three-way decisions, lower and upper approximations induced by three-way decisions, aggregation three-way decisions over multiple three-way decision spaces and dynamic three-way decisions on three-way decision spaces. Then this paper discusses another question on refusal decision region when the uncertain region is defined by using inequality beta < E(A)(x) < alpha and gives one example to illustrate the similarity and difference among these three-way decisions based on three-way decision spaces. (C) 2016 Elsevier Inc. All rights reserved.
URI: http://hdl.handle.net/10397/64586
ISSN: 0888-613X
DOI: 10.1016/j.ijar.2016.12.007
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