A three-way decision approach with risk strategies in hesitant fuzzy decision information systems

2021 ◽  
Author(s):  
Jiajia Wang ◽  
Xueling Ma ◽  
Zeshui Xu ◽  
Jianming Zhan
Keyword(s):  
Information Systems ◽  
Fuzzy Decision

scholarly journals Rough Set Approach to Approximation Reduction in Ordered Decision Table with Fuzzy Decision

2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
Xiaoyan Zhang ◽  
Shihu Liu ◽  
Weihua Xu
Keyword(s):  
Information Systems ◽  
Knowledge Discovery ◽  
Rough Set ◽  
Decision Table ◽  
Fuzzy Decision ◽  
Efficient Tool ◽  
Lower Approximation ◽  
Dominance Relations ◽  
Decision Tables

In practice, some of information systems are based on dominance relations, and values of decision attribute are fuzzy. So, it is meaningful to study attribute reductions in ordered decision tables with fuzzy decision. In this paper, upper and lower approximation reductions are proposed in this kind of complicated decision table, respectively. Some important properties are discussed. The judgement theorems and discernibility matrices associated with two reductions are obtained from which the theory of attribute reductions is provided in ordered decision tables with fuzzy decision. Moreover, rough set approach to upper and lower approximation reductions is presented in ordered decision tables with fuzzy decision as well. An example illustrates the validity of the approach, and results show that it is an efficient tool for knowledge discovery in ordered decision tables with fuzzy decision.

KNOWLEDGE REDUCTION IN LATTICE-VALUED INFORMATION SYSTEMS WITH INTERVAL-VALUED INTUITIONISTIC FUZZY DECISION

2013 ◽  
Vol 22 (01) ◽  
pp. 1250030 ◽  
Author(s):  
WEI-HUA XU ◽  
SHI-HU LIU ◽  
FU-SHENG YU
Keyword(s):  
Information Systems ◽  
Lattice Theory ◽  
Fuzzy Decision ◽  
Discernibility Matrix ◽  
Knowledge Reduction ◽  
Intuitionistic Fuzzy ◽  
Complex Information ◽  
Sets Theory ◽  
Consistent Information ◽  
Interval Valued

In this paper, associated with dominance relation, lattice theory and intuitionistic fuzzy sets theory, the lattice-valued information systems with interval-valued intuitionistic fuzzy decision are proposed and some of its properties are investigated carefully. And, an approach to knowledge reduction based on discernibility matrix in consistent lattice-valued information systems with interval-valued intuitionistic fuzzy decision is constructed and an illustrative example is applied to show its validity. Moreover, extended from the idea of knowledge reduction in consistent information systems, four types of reductions and approaches to obtaining the knowledge reductions of the inconsistent lattice-valued information systems with interval-valued intuitionistic fuzzy decision are formulated via the use of discernibility matrix. Furthermore, examples are considered to show that the approaches are useful and effective. One can obtain that the research is meaningful both in theory and in application for the issue of knowledge reduction in complex information systems.

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