Recent Study on the Application of Hybrid Rough Set and Soft Set Theories in Decision Analysis Process

Author(s):  
Masurah Mohamad ◽  
Ali Selamat
2011 ◽  
Vol 2011 ◽  
pp. 1-10
Author(s):  
Sharmistha Bhattacharya (Halder) ◽  
Bijan Davvaz

Fuzzy sets, rough sets, and later on IF sets became useful mathematical tools for solving various decision making problems and data mining problems. Molodtsov introduced another concept soft set theory as a general frame work for reasoning about vague concepts. Since most of the data collected are either linguistic variable or consist of vague concepts so IF set and soft set help a lot in data mining problem. The aim of this paper is to introduce the concept of IF soft lower rough approximation and IF upper rough set approximation. Also, some properties of this set are studied, and also some problems of decision making are cited where this concept may help. Further research will be needed to apply this concept fully in the decision making and data mining problems.


2019 ◽  
Author(s):  
Megan Barnes ◽  
Whitney Goodell ◽  
Robert Whittier ◽  
Kim Falinski ◽  
Tova Callendar ◽  
...  

A cocktail of land-based sources of pollution threatens coral reef ecosystems, and addressing these has become a key management and policy challenge in Hawaiʻi, US and territories, and globally. In West Maui, Hawaiʻi, nearly one quarter of all living corals were lost between 1995-2008. Onsite disposal systems (OSDS) for sewage are common contaminants for drinking water sources and nearshore waters. In recognition of this risk, the Hawaiʻi State Department of Health (DOH) is prioritizing areas for cesspool upgrades. Independently, we applied a decision analysis process to identify priority areas to address sewage pollution from OSDS in West Maui, with the objective of reducing nearshore coral reef exposure to pollution. The decision science approach is relevant to a broader context of coastal areas both statewide and in coastal systems worldwide which are struggling with identifying pollution mitigation actions on limited budgets.


2018 ◽  
Vol 7 (4.10) ◽  
pp. 316
Author(s):  
M. Manimaran ◽  
B. Praba ◽  
G. Deepa ◽  
V. M. Chandrasekaran ◽  
Krishnamoorthy Venkatesan

Diabetes is a noteworthy medical issue in both modern and creating nations, and its frequency is rising apparently. It is a metabolic disease in which the person who has been affected will have high blood glucose or high blood sugar. It is mainly because of inadequate production of insulin or the body’s cells do not respond to insulin. In some special cases it may be due to both the reasons. This disease causes a lot of health issues in humans’ life. Rough set and soft set theory plays a major role for dealing with uncertainty and it has been applied in many fields. In this paper we aim at finding the age group of people in which maximum diabetes mellitus occurs using the concept of rough soft set and rough soft decision set.  


2011 ◽  
Vol 1 (4) ◽  
pp. 38-52
Author(s):  
Rabiei Mamat ◽  
Tutut Herawan ◽  
Mustafa Mat Deris

Soft-set theory proposed by Molodstov is a general mathematic tool for dealing with uncertainty. Recently, several algorithms have been proposed for decision making using soft-set theory. However, these algorithms still concern on Boolean-valued information system. In this paper, Support Attribute Representative (SAR), a soft-set based technique for decision making in categorical-valued information system is proposed. The proposed technique has been tested on three datasets to select the best partitioning attribute. Furthermore, two UCI benchmark datasets are used to elaborate the performance of the proposed technique in term of executing time. On these two datasets, it is shown that SAR outperforms three rough set-based techniques TR, MMR, and MDA up to 95% and 50%, respectively. The results of this research will provide useful information for decision makers to handle categorical datasets.


2012 ◽  
Vol 3 (3) ◽  
pp. 33-48
Author(s):  
Tutut Herawan

In this paper, the author presents the concept of topological space that must be used to show a relation between rough set and soft set. There are two main results presented; firstly, a construction of a quasi-discrete topology using indiscernibility (equivalence) relation in rough set theory is described. Secondly, the paper describes that a “general” topology is a special case of soft set. Hence, it is concluded that every rough set can be considered as a soft set.


Author(s):  
Ayeley P. Tchangani

Decision analysis, the mechanism by which a final decision is reached in terms of choice (choosing an alternative or a subset of alternatives from a large set of alternatives), ranking (ranking alternatives of a set from the worst to the best), classification (assigning alternatives to some known classes or categories), or sorting (clustering alternatives to form homogeneous classes or categories) is certainly the most pervasive human activity. Some decisions are made routinely and do not need sophisticated algorithms to support decision analysis process whereas other decisions need more or less complex processes to reach a final decision. Methods and models developed to solve decision analysis problems are in constant evolution going from mechanist models of operational research to more sophisticated and soft computing-oriented models that attempt to integrate human attitude (emotion, affect, fear, egoism, altruism, selfishness, etc.). This complex, soft computing and near human mechanism of problem solving is rendered possible thanks to the overwhelming computational power and data storage possibility of modern computers. The purpose of this chapter is to present new and recent developments in decision analysis that attempt to integrate human judgment through bipolarity notion.


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