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About the Images and Inverse Images of Intuitionistic or Vague Fuzzy Subsets

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In this paper an exclusive study of some standard (lattice) algebraic properties for Intuitionistic fuzzy (inverse) images of Intuitionistic fuzzy subsets is done. Further as in crisp setup, characterizations for injectivity and surjectivity of maps in terms of some (lattice) algebraic properties of Intuitionistic fuzzy images and Intuitionistic fuzzy inverse images are performed.


The Bulletin of Society for Mathematical Services and Standards (Volume 3)
G. Vasanti "About the Images and Inverse Images of Intuitionistic or Vague Fuzzy Subsets", The Bulletin of Society for Mathematical Services and Standards, Vol. 3, pp. 1-4, 2012
Online since:
Sep 2012

Atanassov, K., Intuitionistic Fuzzy Sets, V. Sgurev, Ed., VII ITKR's Session, Sofia, June 1983, Bulgarian Academy of Sciences, 1984).

Atanassov, K. and Stoeva, S., Intuitionistic Fuzzy Sets, Polish Symp. On Interval and Fuzzy Mathematics, Poznan, August 1983, P23-26.

Atanassov, K. and Stoeva, S., Intuitionistic L-fuzzy Sets, R. Trappl, Ed., Cybernetics and Systems Research 2, Elsevier Science Publishers, Amsterdam, 1984, P539-540.

Davvaz B., Dudek W.A. and Jun Y. B, Intuitionistic fuzzy Hv - submodules, Information Sciences, Vol. 176(3)(2006), P285-300.

Galindo, J., Urrutia, A. and Piattini, M., Fuzzy databases: Modeling, Design and Implementation, Idea Group Publishing, London, (2006).

Gau, W.L. and Buehrer D.J., Vague Sets, IEEE Transactions on Systems, Man and Cybernetics, Vol. 23(1993), P610-614.

Hiroshi S., Rough Sets, Fuzzy Sets, Data Mining and Granular Computing: 12th International Conference, RSFDGrC 2009, Delhi, India, Proceedings, Springer, 2009, ISBN 3642106455.

Jose Valente de Oliveira and Witold Pedrycz, Advances in fuzzy clustering and its applications, John Wiley and Sons Inc. New York, USA, 2007 ISBN: 0470027606.

Morgan K., Fuzzy Modeling and Genetic Algorithms for Data Mining and Exploration, 1st edition (2005), ISBN-10: 012-1942759, ISBN-13: 978-0121942755.

Mordeson J.N. and Malik D.S., Fuzzy Commutative Algebra, World Scientific, Singapore, (1998).

Puyin Liu, Hong-Xing Li, Fuzzy Neural Network Theory and Application, World Scientific, (2004).

Tamalika C. and Ajoy Kumar Ray, Fuzzy Image Processing and Applications with MATLAB, CRC Press; 1st edition, November 24, 2009, ISBN-10: 1439807086, ISBN-13: 9781439807088.

Thakur.S. S and Jyoti Pandey Bajpai, Intuitionistic Fuzzy W-Closed Sets and Intuitionistic Fuzzy W - Continuity, International Journal of Contemporary Advanced Mathematics (IJCM), Volume (1): Issue (1).

Yan-Qing Zhang, Compensatory Genetic Fuzzy Neural Networks and Their Applications, (Series in Machine Perception and Artificial Intelligence), World Scientific Pub Co Inc, November (1998).

Ying-Ming and Mao-Kang, Fuzzy Topology, World Scientific, Singapore, (1997).

Yong Ho Yon, Young Bae Jun and Kyung Ho Kim, Intuitionistic Fuzzy R-Subgroups Of Near Rings, Soochow Journal Of Mathematics, Vol. 27(2001), no. 3, P243-253.

Jian-Ming, Interval Valued Intuitionistic Fuzzy Hv-Subgroups, Journal of Mathematical Research and Exposition 2007-04.

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