Comparative study of variable precision rough set model and graded rough set model

Zhang, Xianyong; Mo, Zhi-Wen; Xiong, Fei; Cheng, Wei

doi:10.1016/j.ijar.2011.10.003

Cited by 56 publications

(22 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…where threshold k 2 N. Usually, neither R k X # R k X nor R k X # R k X holds; hence, a regional system regarding a four-region division is established in [67]. Measures g ¼ gð½x R ; XÞ ¼ j½x R \ Xj and g ¼ gð½x R ; XÞ ¼ j½x R j À j½x R \ Xj reflect the absolute number of ½x R elements inside and outside X, respectively.…”

Section: Grs-modelmentioning

confidence: 99%

An expanded double-quantitative model regarding probabilities and grades and its hierarchical double-quantitative attribute reduction

Zhang¹,

Miao²

2015

Information Sciences

Self Cite

View full text Add to dashboard Cite

Section: Grs-modelmentioning

confidence: 99%

An expanded double-quantitative model regarding probabilities and grades and its hierarchical double-quantitative attribute reduction

Zhang¹,

Miao²

2015

Information Sciences

Self Cite

View full text Add to dashboard Cite

“…Equivalence class of Cindiscernibility relation denoted by [ ] c x informally two objects are indiscernible if one object cannot be distinguished from the other on the basis of a given set of attributes. Hence, indiscernibility is a function of the set of attributes under consideration [6]. An indiscernibility relation partitions the set of facts related to a set of objects into a number of equivalence classes.…”

Section: Indiscernibility In Digital Circuitmentioning

confidence: 99%

Improving Circuit Miniaturization and Its Efficiency Using Rough Set Theory

Rawat

Mor

Roy

et al. 2013

2013 International Conference on Machine Intelligence and Research Advancement

View full text Add to dashboard Cite

High-speed, accuracy, meticulousness and quick responses are the notion of the vital necessities for modern digital world. An efficient electronic circuit unswervingly affects the maneuver of the whole system. Different tools are required to unravel different types of engineering tribulations. Improving the efficiency, accuracy and low power consumption in an electronic circuit is always been a bottle neck problem. So the need of circuit miniaturization is always there. It saves a lot of time and power while switching of gates and reduces the wiring-crises. Therefore to trounce with this problem we have proposed an artificial intelligence (AI) based approach that makes use of Rough Set Theory for its implementation. Theory of rough set has been proposed by Z Pawlak in the year 1982. Rough set theory is a new mathematical tool which deals with uncertainty and vagueness. Decisions can be generated using rough set theory by reducing the unwanted and superfluous data. We have condensed the number of gates without upsetting the productivity of the given circuit. This paper proposes an approach using artificial intelligence technique with the help of rough set theory which basically lessens the number of gates in the circuit, based on decision rules.

show abstract

“…Measures |[x] R | − |X ∩ [x] R | and |X ∩ [x] R | reflect the absolute number of |[x] R | elements outside and inside X, and called external grade and internal grade, respectively. So, based above absolute numbers and the R k (X) means union of the elements which whose classes's internal grade aboutX is greater than k; R k means union of the elements which whose classes's external grade about X is at most k [4]. This nature number k is called the grade of GRS.…”

Section: Introductionmentioning

confidence: 99%

Multigranulation with different grades rough set in ordered information system

2015

2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)

View full text Add to dashboard Cite

The the graded rough set and multi-granulation rough set are two significant extended rough set models, both constructed on the the indiscernibility relations. The purpose of this paper is to study the good points of graded rough set in the multi-granulation environment which in different granule have different grades in ordered information system. Three new types multi-granulation with different grades rough set models are proposed, which include optimistic multi-granulation with different grades, pessimistic multi-granulation with different grades and the mean multi-granulation with different grades rough set. Then, their principal structure are studied, and their basic properties are obtained as well. Finally, we study a case about students' achievement estimate the performance of the proposed properties. In the viewpoint of granular computing, our study extension the classical rough set theory.

show abstract

Comparative study of variable precision rough set model and graded rough set model

Cited by 56 publications

References 33 publications

An expanded double-quantitative model regarding probabilities and grades and its hierarchical double-quantitative attribute reduction

An expanded double-quantitative model regarding probabilities and grades and its hierarchical double-quantitative attribute reduction

Improving Circuit Miniaturization and Its Efficiency Using Rough Set Theory

Multigranulation with different grades rough set in ordered information system

Contact Info

Product

Resources

About