Pdf algebraic structures for dominancebased rough set. We propose the use of rough set theory modified by 8 and called dominancebased rough set approach drsa in portfolio management, more specifically in the man. The rough set theory suggested by pawlak, 1982 respects the above principle. Drsa dominancebased rough set approach rough set theory. Rough set theory developed by 46 is regarded as a mathematical tool for imperfect data analysis and may be applied in engineering, banking, medicine 7. A bunch of artificial intelligence tools and algorithms exist in order to help decision makers and leaders defining strategy and courses of action. Lncs 8818 probabilistic rough set model based on dominance. The drsa is a development of the rough sets philosophy which concerns the possibility of extending this theory to multiple criteria decision analysis by providing the model with preference. A multiattribute auction model by dominance based rough. Dominancebased rough set approach drsa has been proposed to generalize classical rough set approach when monotonicity between memberships to considered concepts has to be taken into account. Evaluation of a dominancebased rough set approach to.
Dominancebased rough set approach for group decisions deepdyve. Dominancebased rough intervalvalued fuzzy set in incomplete. The rough sets philosophy is based on the assumption that a certain amount of information data. In section 4, based on the proposed dominance relation, dominance based rough set model for intervalvalued decision ordered tables is proposed and studied. Three notable extensions of classical rough sets are. Casebased reasoning is a paradigm in machine learning whose idea is that a new problem can be solved by noticing its similarity to a set of problems previously solved. Dominancebased rough set theory over intervalvalued. Defining poverty using dominancebased rough set theory. Pdf dominancebased rough set approach to incomplete. The former formulation emphasizes the meaning and interpretation of. An introductory part includes general background of the considered topic, literature survey and definition of the research objectives.
This study develops the theory of dominance based soft rough sets, which is used to propose a new method for analyzing conflicts in decision. Dominancebased rough set approach to reasoning about. The hybridization of dominance based rough set approach and other mathematical tools have applied in multiple criteria decision analysis see 4, 27, 28, 43, 44, 53. Variable consistency dominancebased rough set approach to. Dominancebased rough set approach in selection of portfolio. Dominancebased rough set approach to casebased reasoning. Inconsistencies in data rough set theory dominancebased rough set approach drsa dominance principle as monotonicity principle granular computing with dominance cones induction of decision rules from dominancebased rough approximations decision rules attractiveness measures of decision rules knowledge representation and prediction. Due to limitations discussed here, the methodical toolbox for the analysis of questionnaires, especially when dealing with data on ordinal scales, has been very much enriched by a rough set theory based approach, namely drsa dominance based rough sets approach which was proposed greco et al. Dominancebased rough intervalvalued fuzzy set in incomplete fuzzy information system minlun yan department of mathematics and applied mathematics, liangyungang teachers college, liangyungang, 222006, p. It was modified by greco, matarazzo and slowinski 5 and subsequently renamed the d om i. Abstractsetvalued information systems are generalized singlevalued information systems. Dominancebased rough set approach to multiple criteria.
It is based on rough set theory that is a mathematical theory for reasoning about data. Stochastic dominancebased rough set model for ordinal. The main purpose of rough set theory is to deal with inconsistencies in information. A set of if antecedent, then consequent decision rules are induced from the passenger preference data that express the relationships between attributes values and the overall service ratings in the. Rough set theory, developed by pawlak 1 2 and by pawlakand slowinski 3, is a mathe matical tool that may be used to support decision maki ng processes in fields such as medicine, banking and e ngineering 4. Intuitionistic fuzzy dominancebased rough set approach. Dominancebased rough set approach data analysis framework. Consideration of preferenceorders requires the use of an extended rough set model called dominancebased rough set approach drsa. Introduction rough set theory 4447, proposed by pawlak, is a new mathematical tool which can be used to deal with. Soft dominance based rough sets with applications in. Addressing the location of undesirable facilities through the. Dominancebased rough set approach to reasoning about ordinal.
The rough sets theory was introduced by pawlak pawlak, 1982, 1991 and it constitutes a tool to describe a set of objects, for which the available information is possibly inconsistent or ambiguous. Coveringbased rough sets dominancebased rough sets semantics preorder 1 introduction rough set theory has two formulations. Chapter 19 rough set based decision support roman slowi. Drsa is defined as dominancebased rough set approach rough set theory very frequently. Section 3 will advance the multiattribute decision model by dominance based rough sets approach. Assessing rural sustainable development potentialities by. Use of the dominancebased rough set approach as a decision. Dominancebased rough set theory over intervalvalued information systems article in expert systems 312 may 2014 with 53 reads how we measure reads. This theory has greatly promoted the research of multicriteria decision making. May 16, 2016 read dominance based rough set approach for group decisions, european journal of operational research on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. A semantical approach to rough sets and dominancebased rough.
The rough approximations defined within drsa are based on. Dominancebased rough set approach drsa has been proposed by the authors to handle background knowledge about ordinal evaluations of objects from a universe, and about monotonic relationships between these evaluations, e. A dominancebased rough set approach to customer behavior in. Variable consistency dominancebased rough set approach vcdrsa, to analyze data from a survey on airline service quality. Dominancebased rough set approach drsa has been proposed to generalize classical rough set approach when monotonicity between memberships to considered concepts has. In drsa, the classical indiscernibility relation has been replaced by a dominance relation. This study develops the theory of dominancebased soft rough sets, which is used to propose a new method for analyzing conflicts in decisionmaking problems. Analyzing it business values a dominance based rough sets. A number of useful mathematical tools such as fuzzy sets, rough sets and soft sets have been developed to deal with problems involving various uncertainties. We propose the use of rough set theory modified by 8 and called dominance based rough set approach drsa in portfolio management, more specifically in the man. Pdf variable consistency model of dominancebased rough. Extension of the fuzzy dominancebased rough set approach. This system is used to establish a dominancebased rough set model, which is grounded primarily on the substitution of the indiscernibility relation in the classic rough set theory with the.
Dec 20, 20 the work proposes the use of the theory of the dominance. The rough set theory, a kind of natural language computation, is particularly useful for dealing with imprecise or vague concepts 23. It is vital to propose an extension rough set theory called the dominance based rough set approach 3 to take account into the ordering properties of criteria. The dominancebased rough set approach drsa is an extension of rough set theory for multicriteria decision analysis mcda, introduced by greco, matarazzo and slowinski. The application of dominancebased rough sets theory to. It is done in a way that we distinguish objects that are fully consistent with the available knowledge from the objects which are possibly consistent. Dominancebased rough set approach has attracted much attention in practical applications ever since its inception. How is dominancebased rough set approach rough set theory abbreviated. The dominance based rough set approach drsa, originally developed by greco et al.
Drsa stands for dominancebased rough set approach rough set theory. Consistency dominancebased rough set approach vcdrsa. Index termsdominancebased rough set, dominance based fuzzy rough set, intuitionistic fuzzy dominance relation, intuitionistic fuzzy dominancebased rough set, approximate distribution reducts i. In this paper, by introducing a type of dominance relation to setvalued ordered information systems, we establish dominancebased rough set approach and propose a ranking approach for all objects based on the dominance classes. A novel approach to decision analysis using dominancebased. This theory has greatly promoted the research of multicriteria decision making problems involving preferential information. Probability approach for intervalvalued ordered decision. This paper proposes a new generalization of classical real. These theories have been found to be particularly useful in decision making under uncertainty. Rough set theory 19,20,22 has been adapted to deal with this kind of inconsistency and the resulting methodology has been called dominance based rough set approach drsa 12. Defining poverty using dominancebased rough set theory and. Using fuzzy set theory to improve machine learning models in the dominance based rough set approach. Dominancebased rough set approach in set valued ordered.
One of them is the rough set theory, which was developed by pawlak 6 7 and by pawlak and slowinski 8. Post print version, please cite as chakhar salem, ishizaka alessio, labib ashraf, saad ines, dominancebased rough set approach for group decisions, european journal of operati. Dominancebased rough set approach drsa is an extension of rough set theory for multicriteria decision analysis mcda, introduced by greco, matarazzo and slowinski 2001. A multiattribute auction model by dominance based rough sets approach comsis vol. The conceptual or semantical approach of rough set theory focuses on the meaning and interpretation of concepts, while algorithms to compute those concepts are studied in the computational formulation.
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