The Complement of Normal Fuzzy Numbers: An Exposition
Автор: Mamoni Dhar, Hemanta .K. Baruah
Журнал: International Journal of Intelligent Systems and Applications(IJISA) @ijisa
Статья в выпуске: 8 vol.5, 2013 года.
Бесплатный доступ
In this article, our main intention is to revisit the existing definition of complementation of fuzzy sets and thereafter various theories associated with it are also commented on. The main contribution of this paper is to suggest a new definition of complementation of fuzzy sets on the basis of reference function. Some other results have also been introduced whenever possible by using this new definition of complementation.
Reference Function, Membership Value, Randomness-Fuzziness Consistency Principles, Fuzzy Cardinality of Fuzzy Sets, Left Reference Function, Right Reference Function
Короткий адрес: https://sciup.org/15010456
IDR: 15010456
Список литературы The Complement of Normal Fuzzy Numbers: An Exposition
- Zadeh L. A,Fuzzy Sets, Inform and Control, 1965,8: 338-353
- Baruah H K, Fuzzy Membership with respect to a Reference Function, Journal of the Assam Science Society, 1999, 40(.3):65-73.
- Baruah H.K, Twards Forming a field of fuzzy sets, IJEIC, 2(1), 2011, 16-20
- Baruah H.K, Theory of Fuzzy sets Beliefs and Realities, IJEIC, 2 (2), 2011, 1-22.
- Dhar.M, Fuzzy Sets Towards Forming Boolean Algebra, IJEIC, Korea, Vol.2, Issue 4, 2011, p-137-142.
- De Luca A, Termini S, A definition of non probabilistic entropy in the settings of fuzzy set theory, Information and Control, 1972, 20:301-312.
- Dhar.M, On Cardinality of Fuzzy sets, accepted for publication in IJISA
- Kosko, Fuzzy entropy and conditioning, Inform. Sci. 40 (2) (1986) 165–174.
- Kosko, Fuzziness vs. probability, Internat. J. General Systems 17 (2–3) (1990) 211–240
- Yager.R.R, On measures of fuzziness and negation part 1: Membership in unit interval. International Journal of General Systems, 5 (1979), 221-229.
- Hwang C.M and Yang M.S, On entropy of fuzzy sets, International Journal of Uncertainty: Fuzziness and Knowledge Based systems, 16(4), 2008, 519-527.
- Polit M, Artificial Intelligence Research and Development, IOS Press, 2006, p-85
- Hegalson C.N and Jobe T.H, Fuzzy measure of symmetry breaking of conditions , similarity and comparision: Non statistical information for single patient,The Open Cybernetics and System Journal, Vol2, 11-19, 2008
- Dhar.M, On Separation Index of Fuzzy Sets, IJMA, Vol.3, No.3, 2012, p-932-934.
- 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.
- Dhar. M, On Hwang and Yang’s definition of Entropy of Fuzzy sets, IJLTC, UK, Vol.2, No.4, 2011, p-496-497.
- Soyer A, Kabak. O and Asan U, A fuzzy approach to value and culture assessement and application, International Journal of approximate reasoing, 44(2007), 182-196.
- Shang X.G and Jiang W.S, A Note on fuzzy information measures, Pattern Recognition Letters, 1997,18(5),425-432.
- Fan Jiu Lan and Ma Yuang Liang, Some new fuzzy entropy formulas, Fuzzy Sets and Systems, 128(2002), 277-284.
- Dhar. M, A Note on existing Definition of Fuzzy Entropy, IJEIC, Korea, Vol.3, Issue 1, 2012, p-17-21.
- Baruah H.K, The Randomness-Fuzzuness Consistency Principles, IJEIC, Vol. 1, Issue 1, 37-48, 2010
- Dhar.M, On Some properties of entropy of fuzzy numbers, accepted for publication in IJISA
- Dhar.M, A Note on Subsethood measure of Fuzzy sets, IJEIC, Korea.,55-61, 3(3)
- Dhar.M, On Geometrical Representation of Fuzzy Numbers, IJEIC, Korea, Vol.3, Issue 2, 2012, p-29-34.
- Dubois D and Prade H, Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York, 1980.
- Kosko B, Fuzzy Engineering, Prentice Hall, 1996
- Dhar. M, Representation of fuzzy matrices Based on Reference Function, I.J. Intelligence Systems and Applications, 2012, 5(2), 84-90.F. Alt, Marshall C.Yovits, Advances in Computers, New York(1993)315-318
- Dhar.M, A Note on Determinant and Adjoint of Fuzzy Square Matrix ,accepted for publication in IJISA
