Physics Journal
Articles Information
Physics Journal, Vol.1, No.3, Nov. 2015, Pub. Date: Nov. 12, 2015
Some Algebraic Operations of Intuitionistic Fuzzy Sets on the Basis of Reference Function
Pages: 295-300 Views: 2349 Downloads: 1021
Authors
[01] Mamoni Dhar, Department of Mathematics, Science College, Kokrajhar, Assam, India.
Abstract
In this article, we introduce the concept of reference function in the theory of intuitionistic fuzzy sets. Thereafter, we define some basic operations, namely complement, addition and multiplication of the intuitionistic fuzzy sets on the basis of reference function and some results associated with such operations are discussed.
Keywords
Reference Function, Membership Function, Membership Value
References
[01] K.T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 20(1), (1986) 87-96.
[02] Hemanta K. Baruah, Theory of Fuzzy sets Beliefs and Realities, International Journal of Energy, Information and Communications, 2011, 2(2): 1-22.
[03] On Hwang and Yang’s definition of Entropy of Fuzzy sets, International Journal of Latest Trend in Computing, 2(4), 496-497, 2011.
[04] Fuzzy Sets Towards Forming Boolean Algebra, International Journal of Energy, Information and communications, 2(4), 137-142, 2011.
[05] A Note on existing Definition of Fuzzy Entropy, International Journal of Energy, Information and communications, Vol.3, Issue 1, 17-21,2012.
[06] A Note on the Coherence between Probability and Possibility Measures, International Journal of Computer Applications, 43(7), 28-29, 2012.
[07] On Separation Index of Fuzzy Sets, International Journal of Mathematical Archive, 3(3), 932-934, 2012.
[08] On Geometrical Representation of Fuzzy Numbers, International Journal of Energy, Information and communications, 3( 2), 29-34, 2012.
[09] On Fuzzy Measures of Symmetry Breaking of Conditions, Similarity and Comparisons: Non Statistical Information for the Single Patient, International Journal of Mathematical Archive, 2516-2519, 3(7), 2012.
[10] Probability- Possibility Transformations: An Overview, International Journal of Mathematical Archive, 3(8), 2887-2890, 2012.
[11] On Yager’s Probability-Possibility Transformations, International Journal for Basic Sciences and Social Sciences, 1(3), 2012.
[12] A Note on Subsethood measure of Fuzzy sets, International Journal of Energy, Information and communications, 55-61, 3(3), 2012.
[13] Probability- Possibility Transformation: A Brief revisit, Annals of Fuzzy Mathematics and Informatics, 301-308, 5(2), 2013.
[14] A Note on Variable transformations, Annals of Fuzzy Mathematics and Informatics, 5(2), 371-376, 2013.
[15] Representation of fuzzy matrices Based on Reference Function, International Journal of Intelligent systems and Applications, 5(2), 84-90, 2013.
[16] On Some properties of entropy of fuzzy numbers, International Journal of Intelligent systems and Applications, 5(3), 66-73, 2013.
[17] A Revisit to Probability - Possibility Consistency Principles, International Journal of Intelligent systems and Applications, 90-99, 5(4), 2013.
[18] A Note on Determinant and Adjoint of Fuzzy Square Matrix , International Journal of Intelligent systems and Applications, 5(5), 58-67, 2013.
[19] On Cardinality of Fuzzy sets, International Journal of Intelligent systems and Applications, 5(6), 47-52, 2013.
[20] On Some results based on geometrical representation of fuzzy sets, International Journal of Intelligent systems and Applications, 5(7), 57-62, 2013.
[21] The Complement of Normal Fuzzy Numbers: An Exposition, International Journal of Intelligent Systems and Applications, 5(8), 73-82, 2013.
[22] Cardinality of fuzzy sets: An Overview, International Journal of Energy, Information and communications, 4(1), 15-21, 2013.
[23] A note on Determinant of square fuzzy matrix, International Journal of Information Engineering and Electronic Business, 5(1), 26-32, 2013.
[24] Theory of fuzzy sets: An overview, International Journal of Information Engineering and Electronic Business, 5(3), 22-33, 2013.
[25] A note on entropy subsethood relationship, International Journal of Intelligent Systems and Applications in Engineering, 1(3), 44-46, 2013.
[26] A note on fuzzy relational matrices, International Journal of Intelligent systems and Applications, 5(10), 43-49, 2013.
[27] On Fuzzy Soft matrix based on reference function, International Journal of Information Engineering and Electronic Business, 5(2), 52-59, 2013.
600 ATLANTIC AVE, BOSTON,
MA 02210, USA
+001-6179630233
AIS is an academia-oriented and non-commercial institute aiming at providing users with a way to quickly and easily get the academic and scientific information.
Copyright © 2014 - American Institute of Science except certain content provided by third parties.