Novel fuzzy rough set models and corresponding applications to multi-criteria decision-making

2020 ◽  
Vol 383 ◽  
pp. 92-126 ◽  
Author(s):  
Kai Zhang ◽  
Jianming Zhan ◽  
Wei-Zhi Wu
Keyword(s):  
Decision Making ◽  
Rough Set ◽  
Multi Criteria Decision Making ◽  
Fuzzy Rough Set

Multi-Criteria Decision Making in Marketing by Using Fuzzy Rough Set

2017 ◽  
pp. 100-118 ◽  
Author(s):  
Tapan Kumar Das
Keyword(s):  
Decision Making ◽  
Rough Set ◽  
Good Choice ◽  
Multi Criteria Decision Making ◽  
Fuzzy Rough Set ◽  
Considerable Uncertainty ◽  
Intuitionistic Fuzzy ◽  
Intelligent Technique ◽  
Operating Environments ◽  
Business Dynamics

Most of the marketing problems are complex and unstructured due to the business dynamics and considerable uncertainty involved in the operating environments. Hence decision making in marketing involves evaluation of several parameters and thus multi criteria decision makings are a good choice in most of the decision-making tasks like supplier selection; market places selection; target marketing; etc. This chapter begins with a brief introduction of the theory of rough set which is an intelligent technique for handling uncertainty aspect in the data. However, the notions of fuzzy rough set and intuitionistic fuzzy rough (IFR) sets are defined, and its properties are studied. Thereafter rough set on two universal sets has been studied. In addition, intuitionistic fuzzy rough set on two universal sets has been extensively studied. Furthermore, this chapter shows that intuitionistic fuzzy rough set can be successfully practiced in decision making problems.

scholarly journals Overlap Functions Based (Multi-Granulation) Fuzzy Rough Sets and Their Applications in MCDM

Symmetry ◽  
2021 ◽  
Vol 13 (10) ◽  
pp. 1779
Author(s):  
Xiaofeng Wen ◽  
Xiaohong Zhang
Keyword(s):  
Decision Making ◽  
Theoretical Analysis ◽  
Rough Set ◽  
Rough Sets ◽  
Group Decision ◽  
Decision Makers ◽  
Multi Criteria Decision Making ◽  
Fuzzy Rough Sets ◽  
Fuzzy Rough Set ◽  
New Class

Through a combination of overlap functions (which have symmetry and continuity) and a fuzzy β-covering fuzzy rough set (FCFRS), a new class of FCFRS models is established, and the basic properties of the new fuzzy β-neighborhood lower and upper approximate operators are analyzed and studied. Then the model is extended to the case of multi-granulation, and the properties of a multi-granulation optimistic fuzzy rough set are mainly investigated. By theoretical analysis for the fuzzy covering (multi-granulation) fuzzy rough sets, the solutions to problems in multi-criteria decision-making (MCDM) and multi-criteria group decision-making (MCGDM) problem methods are built, respectively. To fully illustrate these methodologies, effective examples are developed. By comparing the method proposed in this paper with the existing methods, we find that the method proposed is more suitable for solving decision making problems than the traditional methods, while the results obtained are more helpful to decision makers.

scholarly journals Three-Way Decisions Making Using Covering Based Fractional Orthotriple Fuzzy Rough Set Model

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1121 ◽  
Author(s):  
Shougi S. Abosuliman ◽  
Saleem Abdullah ◽  
Muhammad Qiyas
Keyword(s):  
Decision Making ◽  
Rough Set ◽  
Rough Sets ◽  
Fuzzy Numbers ◽  
Loss Functions ◽  
Multi Criteria Decision Making ◽  
Expected Loss ◽  
Fuzzy Rough Set ◽  
Decision Method ◽  
Proposed Model

On the basis of decision-theoretical rough sets (DTRSs), the three-way decisions give new model of decision approach for deal with the problem of decision. This proposed model of decision method is based on the loss function of DTRSs. First, the concept of fractional orthotriple fuzzy β -covering (FOF β -covering) and fractional orthotriple fuzzy β -neighborhood (FOF β -neighborhood) was introduced. We combined loss feature of DTRSs with covering-based fractional orthotriple fuzzy rough sets (CFOFSs) under the fractional orthotriple fuzzy condition. Secondly, we proposed a new FOF-covering decision-theoretical rough sets model (FOFCDTRSs) and developed related properties. Then, based on the grade of positive, neutral and negative membership of fractional orthotriple fuzzy numbers (FOFNs), five methods are established for addressing the expected loss expressed in the form of FOFNs and the corresponding three-way decisions are also derived. Based on this, we presented a FOFCDTRS-based algorithm for multi-criteria decision making (MCDM). Then, an example verifies the feasibility of the five methods for solving the MCDM problem. Finally, by comparing the results of the decisions of five methods with different loss functions.

Multi Criteria Decision Making Techniques for Asset Selection

2019 ◽  
Vol 13 ◽  
Author(s):  
Shraddha Harode ◽  
Manoj Jha ◽  
Namita Srivastava
Keyword(s):  
Decision Making ◽  
Rough Set ◽  
Stock Exchange ◽  
Medical Engineering ◽  
Performance Measure ◽  
Soft Set ◽  
Multi Criteria Decision Making ◽  
Fuzzy Rough Set ◽  
Financial Trading ◽  
Level Soft Set

: A majority of the problems faced by many sophisticated fields, such as, Medical, Engineering, Environment, Social, Financial Mathematics and Economics, are due to uncertainty and ambiguity. Decision-making methods play a crucial role in solving these problems by getting the optimal portfolio. The Fuzzy Soft Set (FSS) is one such decision-making method, which is easily solvable. In this article, an appropriate selection of assets is introduced in financial trading, with the help of different multi-criteria decision-making approaches, such as, Level Soft Set (LSS), Mean Potentiality Approach (MPA), Non-Fuzzy Set and Soft Hesitant Fuzzy Rough Set (SHFRS). Following comparison of the Performance Measure, it was found that the Soft Hesitant Fuzzy Rough Set was capable of constructing a portfolio of assets according to the investor’s preference. In addition to this assessment of the investment, the Firefly Optimization algorithm was used to obtain the proportion of assets in the portfolio. Furthermore, the Bombay Stock Exchange, India (BSE) data was used to check the effectiveness and performance of the Soft Hesitant Fuzzy Rough set algorithm, to note its effectiveness, based on the performance.

An approach to evaluation of emergency plans for unconventional emergency events based on soft fuzzy rough set

Kybernetes ◽  
2016 ◽  
Vol 45 (3) ◽  
pp. 461-473 ◽  
Author(s):  
Sun Bingzhen ◽  
Ma Weimin
Keyword(s):  
Decision Making ◽  
Emergency Management ◽  
Set Theory ◽  
Rough Set ◽  
Rough Set Theory ◽  
Management Decision ◽  
Fuzzy Rough Set ◽  
Emergency Plans ◽  
Content Type ◽  
Emergency Events

Purpose – The purpose of this paper is to present a new method for evaluation of emergency plans for unconventional emergency events by using the soft fuzzy rough set theory and methodology. Design/methodology/approach – In response to the problems of insufficient risk identification, incomplete and inaccurate data and different preference of decision makers, a new model for emergency plan evaluation is established by combining soft set theory with classical fuzzy rough set theory. Moreover, by combining the TOPSIS method with soft fuzzy rough set theory, the score value of the soft fuzzy lower and upper approximation is defined for the optimal object and the worst object. Finally, emergency plans are comprehensively evaluated according to the soft close degree of the soft fuzzy rough set theory. Findings – This paper presents a new perspective on emergency management decision making in unconventional emergency events. Also, the paper provides an effective model for evaluating emergency plans for unconventional events. Originality/value – The paper contributes to decision making in emergency management of unconventional emergency events. The model is useful for dealing with decision making with uncertain information.

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