A decision-making approach to reduce the margin of error of decision makers for bipolar soft set theory

SAR

International Journal of Information Retrieval Research ◽

10.4018/ijirr.2011100103 ◽

2011 ◽

Vol 1 (4) ◽

pp. 38-52

Author(s):

Rabiei Mamat ◽

Tutut Herawan ◽

Mustafa Mat Deris

Keyword(s):

Decision Making ◽

Information System ◽

Set Theory ◽

Rough Set ◽

Soft Set ◽

Decision Makers ◽

Benchmark Datasets

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.

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SAR

Information Retrieval Methods for Multidisciplinary Applications ◽

10.4018/978-1-4666-3898-3.ch016 ◽

2013 ◽

pp. 266-280

Author(s):

Rabiei Mamat ◽

Tutut Herawan ◽

Mustafa Mat Deris

Keyword(s):

Decision Making ◽

Information System ◽

Set Theory ◽

Rough Set ◽

Soft Set ◽

Decision Makers ◽

Benchmark Datasets

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.

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Multiattribute Grey Target Decision Method Based on Soft Set Theory

Mathematical Problems in Engineering ◽

10.1155/2014/307586 ◽

2014 ◽

Vol 2014 ◽

pp. 1-6 ◽

Cited By ~ 4

Author(s):

Xia Wang ◽

Yaoguo Dang ◽

Diqing Hou

Keyword(s):

Decision Making ◽

Set Theory ◽

Supplier Selection ◽

Soft Set ◽

Decision Makers ◽

Green Supplier Selection ◽

Decision Method ◽

Proposed Model ◽

Intersection Operation ◽

Grey Number

With respect to the Multiattribute decision-making problems in which the evaluation attribute sets are different and the evaluating values of alternatives are interval grey numbers, a multiattribute grey target decision-making method in which the attribute sets are different was proposed. The concept of grey soft set was defined, and its “AND” operation was assigned by combining the intersection operation of grey number. The expression approach of new grey soft set of attribute sets considering by all decision makers were gained by applying the “AND” operation of grey soft set, and the weights of synthesis attribute were proved. The alternatives were ranked according to the size of distance of bull’s eyes of each alternative under synthetic attribute sets. The green supplier selection was illustrated to demonstrate the effectiveness of proposed model.

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Soft Set-Based Switching Faults Decision Making in DTC Induction Motor Drives

Journal of Circuits System and Computers ◽

10.1142/s0218126615500218 ◽

2014 ◽

Vol 24 (02) ◽

pp. 1550021 ◽

Cited By ~ 1

Author(s):

Veli Türkmenoğlu ◽

Mustafa Aktaş ◽

Serkan Karataş ◽

Halil İbrahim Okumuş

Keyword(s):

Decision Making ◽

Fault Detection ◽

Induction Motor ◽

Set Theory ◽

Wavelet Decomposition ◽

Motor Drives ◽

Soft Set ◽

Fault Detection And Diagnosis ◽

Induction Motor Drives ◽

Detection Mechanism

This paper introduces a method for detection and identification of IGBT-based drive open-circuit fault of DTC induction motor drives. The detection mechanism is based on soft set theory and wavelet decomposition, if it is detailed, ⊼-product decision making method and sym2 wavelet decomposition have been used in the detection mechanism. In this method, the stator currents have been used as an input to the system. The stator current has been used for the detection of the fault. The signal analysis has been performed up to the six level details wavelets decomposition. Faulty switch is detected by applying soft set theory to sixth level wavelets transformation. This is the first time applied to inverter in induction motor drives fault detection. The results demonstrate that the proposed fault detection and diagnosis system has very good capabilities.

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Interval-valued intuitionistic fuzzy parameterized soft set theory and its application in decision-making

2016 10th International Conference on Intelligent Systems and Control (ISCO) ◽

10.1109/isco.2016.7726952 ◽

2016 ◽

Cited By ~ 2

Author(s):

B K Tripathy ◽

Abhilash Panigrahi

Keyword(s):

Decision Making ◽

Set Theory ◽

Soft Set ◽

Intuitionistic Fuzzy ◽

Interval Valued

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Fuzzy Decision Making in Politics: A Linguistic Fuzzy-Set Approach (LFSA)

Political Analysis ◽

10.1093/pan/mpi002 ◽

2005 ◽

Vol 13 (1) ◽

pp. 23-56 ◽

Cited By ~ 46

Author(s):

Badredine Arfi

Keyword(s):

Decision Making ◽

Set Theory ◽

Fuzzy Set ◽

Fuzzy Set Theory ◽

Multiple Criteria ◽

Decision Makers ◽

Fuzzy Decision Making ◽

Fuzzy Decision ◽

Trust And Power

In this article I use linguistic fuzzy-set theory to analyze the process of decision making in politics. I first introduce a number of relevant elements of (numerical and linguistic) fuzzy-set theory that are needed to understand the terminology as well as to grasp the scope and depth of the approach. I then explicate a linguistic fuzzy-set approach (LFSA) to the process of decision making under conditions in which the decision makers are required to simultaneously satisfy multiple criteria. The LFSA approach is illustrated through a running (hypothetical) example of a situation in which state leaders need to decide how to combine trust and power to make a choice on security alignment.

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An algorithm for fuzzy soft set based decision making approach

Yugoslav journal of operations research ◽

10.2298/yjor190715026m ◽

2020 ◽

Vol 30 (1) ◽

pp. 59-70

Author(s):

Shehu Mohammed ◽

Akbar Azam

Keyword(s):

Decision Making ◽

Set Theory ◽

Group Decision Making ◽

Group Decision ◽

Soft Set ◽

Mathematical Tool ◽

Fuzzy Soft Set ◽

Soft Sets ◽

Fuzzy Soft Sets ◽

Priority Table

The notion of soft set theory was initiated as a general mathematical tool for handling ambiguities. Decision making is viewed as a cognitive-based human activity for selecting the best alternative. In the present time, decision making techniques based on fuzzy soft sets have gained enormous attentions. On this development, this paper proposes a new algorithm for decision making in fuzzy soft set environment by hybridizing some existing techniques. The first novelty is the idea of absolute scores. The second concerns the concept of priority table in group decision making problems. The advantages of our approach herein are stronger power of objects discrimination and a well-determined inference.

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Fuzzy Soft Multiset Theory

Abstract and Applied Analysis ◽

10.1155/2012/350603 ◽

2012 ◽

Vol 2012 ◽

pp. 1-20 ◽

Cited By ~ 23

Author(s):

Shawkat Alkhazaleh ◽

Abdul Razak Salleh

Keyword(s):

Decision Making ◽

Set Theory ◽

Fuzzy Set ◽

Soft Set ◽

Mathematical Tool ◽

Basic Properties ◽

Definition Of

In 1999 Molodtsov introduced the concept of soft set theory as a general mathematical tool for dealing with uncertainty. Alkhazaleh et al. in 2011 introduced the definition of a soft multiset as a generalization of Molodtsov's soft set. In this paper we give the definition of fuzzy soft multiset as a combination of soft multiset and fuzzy set and study its properties and operations. We give examples for these concepts. Basic properties of the operations are also given. An application of this theory in decision-making problems is shown.

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