Rough set approach to multi-attribute decision analysis pdf

Application of the rough set approach to evaluation of bankruptcy risk. This paper presents rough netrosophic multiattribute decision making based on grey relational analysis. We applied an algorithm based on sr set to multiattribute group decision. Rough set approaches encounter uncertainty by means of boundary regions instead of membership values. Rough set approach to multiattribute choice and ranking. Science and technology, general decision making decisionmaking fuzzy sets research mathematical research multiple criteria decision making methods set theory. Mondal and pramanik 2015 applied the concept of rough neutrosophic set in multi attribute decision making madm based on grey relational analysis. A rough set knowledge discovery framework is formulated for the analysis of intervalvalued information systems converted from real. This investigation compares two multi criteria analysis methods, analytic hierarchy process ahp and dominance based rough set approach drsa, applied to the ranking of ten investment projects based on evaluation of the overall risk associated with each. Multiattribute models motivation for multiattribute modeling. The purpose of this research is to expose the results of using dominancebased rough set approach drsa to help international organizations both nongovernmental organizations and governmental organizations define poverty, identifying economical, sociological, political and technological strategic objectives for developing countries. Attribute reduction is a key problem for rough set theory.

Robustness analysis for decision under uncertainty with rule. Golmohammadi and ghareneh 2011 analyze the importance of travel attributes by rough set approach. In this paper, basic concept of rough set theory is presented, one heuristic algorithm for attribution reduction based on conditional entropy is proposed. A compilation of modern decisionmaking techniques, multiple attribute decision making. Comparison of analytic hierarchy process and dominancebased rough set approach as multi criteria decision aid methods for the selection of investment projects 8. To the best our knowledge, hotel quality analysis not widely. Rough set theory is a new approach to decision making in the presence of uncertainty and vagueness. As rough group decision originates from rough set theory, it can. Neutrosophic set, rough neutrosophic set, singlevalued neutrosophic set, grey relational analysis, information entropy, multi attribute decision making. Rough set analysis of multiattribute decision problems. Rough neutrosophic topsis for multiattribute group decision.

Multiattribute decisionmaking, casebased reasoning, rough set, relative position region, attribute importance. A variety of methods have been proposed to deal with such problems. The concept of rough neutrosophic set is very recently proposed by. Decision making for hotel selection using rough set theory. Rough set analysis of multiattribute decision problems springerlink.

International transactions in operational research, 1 1994 no. Ahp requires decision makers to evaluate the various elements of risk by paired comparison in terms of their impact on the element above. Several studies of rough neutrosophic sets have been reported in the literature. A multiattribute group decision approach based on rough.

A case in sustainability planning how managers can use decision analysis techniques to include both quantitative and qualitative factors in their decisionmaking. It is aimed at interactive development of qualitative multiattribute decision models and the evaluation of options. Rough set theory answers two basic questions related to multi attribute decision problems. Feb 24, 2017 this study aims to present a novel approach for determining the weights of decision makers dms based on rough group decision in multiple attribute group decisionmaking magdm problems. Bulgak2 1concordia institute for information systems engineering 2department of mechanical and industrial engineering, faculty of engineering and computer science, concordia university. Since decision makers turn to uncertain preferences to evaluate the criteria and alternatives, applying rough set and the gray set theories in the context of multiattribute decisionmaking models seems more logical and consistent.

Multi attribute decision making strategy on projection and bidirectional projection measures of interval rough neutrosophic sets. Conflicting criteria are typical in evaluating options. The rough set theory is used to simplify the accident loss. Mondal and pramanik 2015 applied the concept of rough neutrosophic set in multiattribute decision making madm based on. Multiattribute decision analysis methods request pdf. Gas is a flammable, explosive and highpressure medium. While computing reduction according to the definitions is a typical np problem.

For data mining, reducing the unnecessary redundant attributes which was known as attribute reduction ar, in particular, reducts with minimal cardinality, is an important preprocessing step. Comfor t, perf ormance, reliability,s iz e, safety,s tyle, ima ge, equipment, handling, noise,running costs these are some attributes of cars. Multiplecriteria decision making mcdm or multiplecriteria decision analysis mcda is a subdiscipline of operations research that explicitly evaluates multiple conflicting criteria in decision making both in daily life and in settings such as business, government and medicine. The concept of rough neutrosophic set is a powerful mathematical tool to deal with uncertainty, indeterminacy and inconsistency. Gas pipelines are passing through many different geographical conditions of changing natural environment with gas. Rough neutrosophic hypercomplex set and its application to. An integrated approach to a multiattribute decision problem through a case study ashish ganguli1, yong zeng1, akif a. Consequently, the value of confidence for the rule should be constrained from the bottom. The aim of rough set analysis is the explanation of the dependence between the values of some decision attributes, playing the role of dependent.

Pdf handling missing values in rough set analysis of. Small multiattribute method of decision analysis 4125 words. Rough intuitionistic fuzzy multi attribute decision making based on grey relational analysis grey relational analysis method was originally developed by deng1989 and has been successfully applied in solving a variety of madm problems. A rough set approach for determining weights of decision makers in. Small multiattribute method of decision analysis student name professor. Choosing a car, forinstance, although you might be looking in a particular price band. Rough intuitionistic fuzzy multiattribute decision making based on grey relational analysis grey relational analysis method was originally developed by deng1989 and has been successfully applied in solving a variety of madm problems. I began by identifying a decision problem that fi t the set conditions. Request pdf rough sets theory for multicriteria decision analysis. Thus, the proposed model provides a reliable, accurate method for. A novel rough set approach is proposed in this paper to discover classification rules through a process of knowledge induction which selects optimal decision rules with a minimal set of features necessary and sufficient for classification of realvalued data. Handling missing values in rough set analysis of multiattribute and multicriteria decision problems conference paper pdf available with 296 reads how we measure reads.

Rough set and rulebased multicriteria decision aiding. Introduction the notion of rough set theory was originally proposed by pawlak 1, 2. Robustness analysis for decision under uncertainty with. We propose an original way of applying the rough set theory to the analysis of multi attribute preference systems in the choice pa and ranking py decision problematics. Therefore, a lot of adverse consequences will be bought by the gas pipeline failure, however not all consequences have a great impact on assessment of the losses.

The dominancebased rough set approach drsa is an extension of rough set theory for multicriteria decision analysis mcda, introduced by greco. Rough set and rulebased multicriteria decision aiding scielo. Rough set approach to knowledgebased decision support. So there is enormous chance of success of rough neutrosophic set in decision making. We propose an original way of applying the rough set theory to the analysis of multiattribute preference systems in the choice pa and ranking py decision problematics. This article is the last of a series of three researches. Dex for education computer program for multiattribute decision making 1987.

Neutrosophic set, rough neutrosophic set, singlevalued neutrosophic set, grey relational analysis, information entropy, multiattribute decision making. A multiattribute group decision approach based on rough set. Approach to stochastic multiattribute decision problems using rough sets theory article in journal of systems engineering and electronics 171. A novel strategy for minimum attribute reduction based on. European journal of operational research, 1994, 72. The paper puts forward the multivariable decision tree algorithm which based on a rough set to a combination of rough sets theory and decision tree algorithm. Comparison of analytic hierarchy process and dominance. Also, regression analysis and cluster analysis are also.

Decision under uncertainty, classi cation, dominancebased rough set approach, robustness analysis, univocal recommendation, group decision 1. Defining poverty using dominancebased rough set theory. In the paper, by a coding method of combination subset of attributes set, a novel search strategy for minimal attribute reduction based on rough set theory rst and fish swarm algorithm fsa is. We present a set of indicators and outcomes for judging the spaces of consensus and disagreement between the dms.

Rough set approach to multiattribute decision analysis, european journal of operational research, elsevier. Comparison of analytic hierarchy process and dominancebased. Multiattribute decision making manydecisions are based on other attributes than price. Comparison of analytic hierarchy process and dominancebased rough set approach as multicriteria decision aid methods for the selection of investment projects 8. First, we construct a rough group decision matrix from all dms decision matrixes on the basis of rough set theory. Pages in category multiple criteria decision analysis the following 29 pages are in this category, out of 29 total. Rough sets theory for multicriteria decision analysis citeseerx. Risk evaluation of gas pipeline based on rough set. Multiple attribute decision making based on crossevaluation.

A rough set approach for determining weights of decision. This study aims to present a novel approach for determining the weights of decision makers dms based on rough group decision in multiple attribute group decisionmaking magdm problems. A new multiattribute decision making based on casebased reasoning and a rough set based on the ranking relative importance of the attributes is constructed, which obtains rules, avoiding reduction and rule extraction. Systematic, structured approach to difficult reallife problems model development.

Recently, mondal and pramanik proposed a few decision making models in rough neutrosophic environment. Pdf on soft rough topology with multiattribute group. Multiple attribute decision making madm problem is one of the most common and popular research fields in the theory of decision science. Rough sets theory for multicriteria decision analysis request pdf. Coveringbased spherical fuzzy rough set model hybrid with. Approach to stochastic multiattribute decision problems. Decision rule approach 509 proved to be a useful tool for analysis of vague description of decision situations 48, 55. Decision analysis using rough sets pawlak 1994 international. This is useful for supporting complex decisionmaking tasks, where there is a need to select a particular option from a set of. An integrated approach to a multiattribute decision. Pdf handling missing values in rough set analysis of multi. Rough set approach to multiattribute decision analysis.

Methods and applications focuses on the fuzzy set approach to multiple attribute decision making madm. Rough set approach to multiattribute decision analysis j. A rough set approach for the discovery of classification. Rough neutrosophic hypercomplex set and its application. Interval rough neutrosophic topsis strategy for multi. Multiattribute decision making modellingusing criteria and utility functions problem decomposition and structuring option evaluation and. Suggest a suitable set of attributes and create a tree of attributes.

Pdf application of rough set theory in decisionmaking with. While the concept of neutrosophic sets is a powerful logic to deal with indeterminate and inconsistent data, the theory of rough neutrosophic sets is also a powerful mathematical tool to deal with incompleteness. Defining poverty using dominancebased rough set theory and. Finally, we extend the proposed approach to group decision under uncertainty. Multiattribute decision making using weighted description.

Grey relational analysis method for multiple attribute. Theory and application on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. It answers two basic questions related to multiattribute decision problems. Multiple attribute decision making model and application.

Read rough approximation of pairwise comparisons described by multi. Rough approximation of pairwise comparisons described by. Rough neutrosophic hyper complex set and its application to multi attribute decision making. Nevertheless, many of them assumed that attribute weights are determined by different types of additional preference information which will result in subjective decision making. Since the rst attention of multiattribute utility theory in 10, 6, numerous approaches have been done, including prob. International journal of intelligent systems in accounting, finance and management, 4 1995 no. We show that the rough set theory is a useful tool for analysis of decision situations, in particular multi. Applying rough set theory and grey theory in multi. Dominancebased rough set approach data analysis framework. Multi attribute decision making strategy on projection and. While the concept of neutrosophic sets is a powerful logic to deal with indeterminate and inconsistent data, the theory of rough neutrosophic sets is also a. Rough neutrosophic topsis for multiattribute group.

Pdf generalized interval neutrosophic rough sets and its. This investigation compares two multicriteria analysis methods, analytic hierarchy process ahp and dominance based rough set approach drsa, applied to the ranking of ten investment projects based on evaluation of the overall risk associated with each. What are objects and attributes is not important here and many interpretations of these results in terms of decision situations are possible. Science and technology, general decision making decision making fuzzy sets research mathematical research multiple criteria decision making methods set theory. It answers two basic questions related to multi attribute decision problems. As to the input, the rough set approach requires a set of decision exam. An algorithm of attribute reduct based on rough set. The ask was to come up with a multi objective decision making scenario and use the small multiattribute rating technique to identify a solution to the problem. One of the main advantages of our application over the previous ones is the possibility of a. Rough neutrosophic multiattribute decisionmaking based.

Decision making for hotel selection using rough set theory a. Multiplecriteria decisionmaking mcdm or multiplecriteria decision analysis mcda is a subdiscipline of operations research that explicitly evaluates multiple conflicting criteria in decision making both in daily life and in settings such as business, government and medicine. Dexi is a computer program for multiattribute decision making. The aim of a multiple attribute decisionmaking madm problem is to obtain. Rough set theory answers two basic questions related to multiattribute decision problems. Rough sets proved to be very useful for analysis of decision problems concerning objects described in a data table by a set of condition attributes and by a set of decision attributes. The author established the intuitive interval value fuzzy set evaluation model based on characteristics of the network relationship among decision makers, and validated for a multiple attribute decision making case study. Rough set theory proved to be a useful tool for analysis of a vague description of decision situations. Basic concepts of rough set theory will be outlined and its possible application will be briefly discussed. Such a preference model is more general than the classical functional models considered within multiattribute utility theory or the relational models considered, for. Rough neutrosophic multiattribute decisionmaking based on. Comfor t, perf ormance, reliability,s iz e, safety,s tyle, ima ge, equipment, handling, noise,running costs.