International Journal of Intelligent Systems and Applications (IJISA)
IJISA Vol. 5, No. 10, 8 Sep. 2013
Cover page and Table of Contents: PDF (size: 261KB)
Author(s)
Mamoni Dhar
1,*
Index Terms
Reference Function, Membership Value, Closed Expressions, Table Searching
Abstract
In this article, we would like to revisit the existing definitions of cartesian product of fuzzy sets and the fuzzy relational matrix from the standpoint of the new definition of fuzzy sets on the basis of reference function. In the process it is observed that there are drawbacks in the current defintions and hence new definitions of terms mentioned are proposed in this article. Some numerical examples are also presented to make the matter clear and simple.
Cite This Paper
Mamoni Dhar, "A Note on Fuzzy Relational Matrices", International Journal of Intelligent Systems and Applications(IJISA), vol.5, no.10, pp.43-49, 2013. DOI:10.5815/ijisa.2013.10.06
Reference
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[6]Dhar.M, Fuzzy Sets Towards Forming Boolean Algebra, IJEIC, Korea, Vol.2, Issue 4, 2011, p-137-142.
[7]Dhar. M, A Note on existing Definition of Fuzzy Entropy, IJEIC, Korea, Vol.3, Issue 1, 2012, p-17-21.
[8]Dhar.M, On Separation Index of Fuzzy Sets, IJMA, Vol.3, No.3, 2012, p-932-934.
[9]Dhar.M, On Geometrical Representation of Fuzzy Numbers, IJEIC, Korea, Vol.3, Issue 2, 2012, p-29-34.
[10]Dhar.M, On Fuzzy Measures of Symmetry Breaking of Conditions, Similarity and Comparisons: Non Statistical Information for the Single Patient. IJMA, 2516-2519, 3(7), 2012.
[11]Dhar.M, A Note on Subsethood measure of Fuzzy sets, IJEIC, Korea.,55-61, 3(3).
[12]Dhar.M, On Cardinality of Fuzzy sets, accepted for publication in IJISA.
[13]Dhar. M, Representation of fuzzy matrices Based on Reference Function, I.J. Intelligence Systems and Applications, 2013, 5(2), 84-90.
[14]Dhar.M, A Note on Determinant and Adjoint of Fuzzy Square Matrix I.J. Intelligence Systems and Applications, 5(5), 58-67