Proceedings ArticleDOI
Generalised approximate equalities based on rough fuzzy sets & rough measures of fuzzy sets
Abhishek Jhawar,Ekta Vats,B. K. Tripathy,Chee Seng Chan +3 more
- pp 1-6
TLDR
This paper introduces and discusses the rough measures of basic sets, fuzzy sets and interpret four types of approximate equalities in terms of the accuracy measure as well as rough measures.Abstract:
In an attempt to incorporate user knowledge in order to decide about the equality of sets, the concepts of approximate equalities using rough sets were introduced. These notions have been generalised in several ways and very recently [1] extended four types of approximate equalities using rough fuzzy sets instead of only rough sets. To be precise, a concept of leveled approximate equality was introduced and properties were studied. In this paper we extend this work with case studies to illustrate the applications of the concepts and compare them respectively. We also introduce and discuss the rough measures of basic sets, fuzzy sets and interpret four types of approximate equalities in terms of the accuracy measure as well as rough measures. The analysis had provided a clear distinguish notion in terms of the measures.read more
Citations
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Book ChapterDOI
A New Approach to Fuzzy Soft Set Theory and Its Application in Decision Making
TL;DR: An application of fuzzy soft sets in decision making is provided which substantially improve and is more realistic than the algorithm proposed earlier by Maji et al.
Book ChapterDOI
Covering-Based Pessimistic Multigranular Approximate Rough Equivalences and Approximate Reasoning
TL;DR: Covering-based pessimistic multigranular (CBPMG) approximate rough equivalence is introduced and several of their properties are established.
References
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An Analysis of Approximate Equalities based on Rough Set Theory
TL;DR: Two other types of approximate equalities of sets are introduced, called the approximate rough equivalences and approximate rough equality, which capture equality of the concerned sets at a higher level than their corresponding rough equalities.
Journal ArticleDOI
Rough equivalence and algebraic properties of rough sets
TL;DR: This paper establishes the rough equivalence of some of the algebraic properties, which occur frequently in the study of crisp sets, and these new properties can be used in theStudy of rough logic.
Proceedings ArticleDOI
A fuzzy qualitative approach to human motion recognition
TL;DR: In this paper, the authors used the concept of fuzzy qualitative robot kinematics to construct a generic activity representation that can describe simple actions as well as complicated tasks that are performed by different humans.
Proceedings ArticleDOI
A fuzzy qualitative approach for scene classification
Chern Hong Lim,Chee Seng Chan +1 more
TL;DR: A fuzzy qualitative approach to address the problem of scene classification by adopting the fuzzy quantity space to model the training data and presenting a novel weight function to train a fuzzy qualitative scene model in the fuzzy qualitative states.
Book ChapterDOI
An Analysis of Generalised Approximate Equalities Based on Rough Fuzzy Sets
TL;DR: This paper generalises three types of rough equalities of sets by considering rough fuzzy sets instead of only rough sets, and introduces the concept of leveled approximate equality.