Soft ordered based multi-granulation rough sets and incomplete information system

Khan, Muhammad Uzair and Ali, Abbas and Rehman, Noor and Abdullah, Saleem (2020) Soft ordered based multi-granulation rough sets and incomplete information system. Journal of Intelligent & Fuzzy Systems, 39 (1). pp. 81-105. ISSN 18758967

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Abstract

This study proposes the multi attribute group decision making in the presence of incomplete multi attribute and
incomplete multi decision while making a decision with preferences in an incomplete information system.We then consider resolving the problem in an incomplete information system by using two different approximation strategies, that is seeking the common reserving difference and common rejecting difference, four kinds of soft dominance based multi-granulation rough sets namely soft dominance based optimestic multi-granulation rough sets and soft dominance based pessimistic multi granulation rough sets are presented. Another worth mentioning contribution of this paper is to disclose the ideas of two kinds of approximate precision, rough degree, approximate quality, maximal and minimal rough member ships and their mutual relationships. Finally the validity of these concepts are proved by constructing two algorithms and applying them in solving incomplete multi-agent conflict analysis problem.

Item Type:	Article
Additional Information:	No
Uncontrolled Keywords:	Rough set, soft set, preference relation, multi-granulation rough sets
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering and Applied Sciences (FEAS) > Department of Basic Sciences Islamabad
Depositing User:	Mr Abbas Ali
Date Deposited:	26 Oct 2020 15:49
Last Modified:	26 Oct 2020 15:49
URI:	http://research.riphah.edu.pk/id/eprint/977

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