Identifying the Relationship Between Business Model  and Competitiveness Using Rough Set Theory

Rough Set Theory is a property valuation methodology recently applied to property market data (d'Amato, 2002). This methodology may be applied in property market where few market data are available or where econometric analysis may be difficult or unreliable. This methodology was introduced by a polish mathematician (Pawlak, 1982). The model permit to estimate a property without defining an econometric model, although do not give any estimation of marginal or hedonic prices. I : ,he first version of RST was necessary to organize the data in classes before the valuation .The relationship between these classes defined if‐then rules. If a property belongs to a specific group then it will belong to a class of value. The relationship between the property and the class of value is dichotomous. In this paper will be offered a second version that improve the RST with a “value tolerance relation” in order to make more flexible the rule. In this case the results will come out from an explicit and specific relationship. The methodology has been tested on 69 transactions in the zone of Carrassi-Poggiofranco in the residential property market of Bari.

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COMBINATION ENTROPY AND COMBINATION GRANULATION IN ROUGH SET THEORY

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems ◽

10.1142/s0218488508005121 ◽

2008 ◽

Vol 16 (02) ◽

pp. 179-193 ◽

Cited By ~ 106

Author(s):

YUHUA QIAN ◽

JIYE LIANG

Keyword(s):

Mutual Information ◽

Set Theory ◽

Rough Set ◽

Rough Set Theory ◽

Information Gain ◽

Heuristic Function ◽

Nature Of Information ◽

Knowledge Content ◽

Incomplete Information Systems ◽

The Relationship

Based on the intuitionistic knowledge content nature of information gain, the concepts of combination entropy and combination granulation are introduced in rough set theory. The conditional combination entropy and the mutual information are defined and their several useful properties are derived. Furthermore, the relationship between the combination entropy and the combination granulation is established, which can be expressed as CE(R) + CG(R) = 1. All properties of the above concepts are all special instances of those of the concepts in incomplete information systems. These results have a wide variety of applications, such as measuring knowledge content, measuring the significance of an attribute, constructing decision trees and building a heuristic function in a heuristic reduct algorithm in rough set theory.

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Comparative Analysis of Hybrid Soft Set Methods

Global Trends in Intelligent Computing Research and Development - Advances in Computational Intelligence and Robotics ◽

10.4018/978-1-4666-4936-1.ch013 ◽

2014 ◽

pp. 360-383

Author(s):

Debadutta Mohanty

Keyword(s):

Information System ◽

Comparative Analysis ◽

Set Theory ◽

Rough Set ◽

Rough Set Theory ◽

Soft Set ◽

Mathematical Tool ◽

Soft Rough Set ◽

Definition Of ◽

The Relationship

The whole mathematical scenario has changed with the advent of the Rough Set Theory, a powerful tool to deal with uncertainty and incompleteness of knowledge in information system. With the advancement of research, the Soft Set Theory has emerged as an advanced mathematical tool to deal with data associated with uncertainty. The present chapter endeavors to forge a connection between soft set and rough set and maps a new model rough soft set to address the challenges of vagueness and impreciseness. Although the research contribution of M. Irfan Ali, Dan Meng, et al. and Feng Feng et al. had given distinct definition of rough soft set and soft rough set, the analysis explaining the genesis of these sets is not appropriate. This chapter is a new attempt to construct the relationship between a rough set, soft set, and fuzzy set to form a hybrid soft set giving a concrete comprehensive definition of rough soft set in border perspective.

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Uncertainty Measures for Multigranulation Approximation Space

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems ◽

10.1142/s0218488515500191 ◽

2015 ◽

Vol 23 (03) ◽

pp. 443-457 ◽

Cited By ~ 11

Author(s):

Guoping Lin ◽

Jiye Liang ◽

Yuhua Qian

Keyword(s):

Set Theory ◽

Rough Set ◽

Information Entropy ◽

Rough Set Theory ◽

Mathematical Tool ◽

Approximation Space ◽

Uncertainty Measures ◽

Multigranulation Rough Set ◽

Essential Properties ◽

The Relationship

Multigranulation rough set theory is a relatively new mathematical tool for solving complex problems in the multigranulation or distributed circumstances which are characterized by vagueness and uncertainty. In this paper, we first introduce the multigranulation approximation space. According to the idea of fusing uncertain, imprecise information, we then present three uncertainty measures: fusing information entropy, fusing rough entropy, and fusing knowledge granulation in the multigranulation approximation space. Furthermore, several essential properties (equivalence, maximum, minimum) are examined and the relationship between the fusion information entropy and the fusion rough entropy is also established. Finally, we prove these three measures are monotonously increasing as the partitions become finer. These results will be helpful for understanding the essence of uncertainty measures in multigranulation rough space and enriching multigranulation rough set theory.

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International Real Estate Review

International Real Estate Review ◽

10.53383/100083 ◽

2007 ◽

Vol 10 (2) ◽

pp. 42-65

Author(s):

Maurizio d’Amato ◽

Keyword(s):

Set Theory ◽

Rough Set ◽

Rough Set Theory ◽

Quantitative Estimation ◽

Econometric Modeling ◽

Valuation Process ◽

Marginal Prices ◽

Valuation Methodology ◽

Automated Valuation ◽

The Relationship

This paper focuses on the problem of applying rough set theory to mass appraisal. This methodology was first introduced by a Polish mathematician, and has been applied recently as an automated valuation methodology by the author. The method allows the appraiser to estimate a property without defining econometric modeling, although it does not give any quantitative estimation of marginal prices. In a previous paper by the author, data were organized into classes prior to the valuation process, allowing for the if-then, or right “rule” for each property class to be defined. In that work, the relationship between property and class of valued was said to be dichotomic.

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Discovering the Relationship between Heat-Stress Gene Expression and Gene SNPs Features using Rough Set Theory

International Journal of Advanced Computer Science and Applications ◽

10.14569/ijacsa.2020.0110213 ◽

2020 ◽

Vol 11 (2) ◽

Author(s):

Heba Zaki ◽

Mohammad Nassef ◽

Amr Ahmed ◽

Ahmed Farouk

Keyword(s):

Gene Expression ◽

Heat Stress ◽

Set Theory ◽

Rough Set ◽

Rough Set Theory ◽

The Relationship ◽

Stress Gene

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Decision Making Based on Rough Set Theory and Weight Value

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.121-122.275 ◽

2010 ◽

Vol 121-122 ◽

pp. 275-280 ◽

Cited By ~ 1

Author(s):

E Xu ◽

Liang Shan Shao ◽

Fang Yang ◽

Tao Qu ◽

Xin Cai Gu

Keyword(s):

Decision Making ◽

Incomplete Information ◽

Set Theory ◽

Rough Set ◽

Rough Set Theory ◽

Averaging Operators ◽

Decision Attributes ◽

Weight Value ◽

Breaking Points ◽

The Relationship

In this paper, we present a solution developed at rough set theory and weight value to make multiattribute decision with incomplete information. The paper defined the concepst of breaking points and recovered the incomplete information system according to the relationship between the condition attributes and decision attributes. And introduced OWGA(ordered weight geometric averaging) operators to calculate the aggregation value of each project. Finally, selected the project with the maximum aggregation value as the best decision making. The illustration and experiments were implemented and the results indicate that the method is effective and efficient.

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Failure Mode Mitigation Process of Complex Products Orienting to the Achievement of RMS Index

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.909.365 ◽

2014 ◽

Vol 909 ◽

pp. 365-370

Author(s):

Zheng Ping Chen ◽

De Zhen Yang ◽

Lin Lin Liu

Keyword(s):

Failure Mode ◽

Set Theory ◽

Rough Set ◽

Decision Model ◽

Rough Set Theory ◽

Fuel System ◽

Complex Product ◽

Complex Products ◽

Complete Failure ◽

The Relationship

Failure mode mitigation process is vague, unfocused, and its effects on RMS index are not clear for complex product development. Firstly, a complete failure mode mitigation closure process and an approach of failure mode mitigation basing on logic decision were proposed. Secondly, the effect models of failure mode mitigation on RMS index were established, and the decision model of the failure mode mitigation order through the rough set theory was put forward. Finally, an example of the fuel system is given to validate the approach and models. The paper proved that the relationship between the achievement process of RMS index.

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