Browse > Article
http://dx.doi.org/10.14403/jcms.2012.25.2.217

NORMAL FUZZY PROBABILITY FOR GENERALIZED QUADRATIC FUZZY SETS  

Kim, Changil (Department of Mathematics Education Dankook University)
Yun, Yong Sik (Department of Mathematics Jeju National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.25, no.2, 2012 , pp. 217-225 More about this Journal
Abstract
A generalized quadratic fuzzy set is a generalization of a quadratic fuzzy number. Zadeh defines the probability of the fuzzy event using the probability. We define the normal fuzzy probability on $\mathbb{R}$ using the normal distribution. And we calculate the normal fuzzy probability for generalized quadratic fuzzy sets.
Keywords
generalized quadratic fuzzy set; normal fuzzy probability;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 A. Kaufmann and M. M. Gupta, Introduction To Fuzzy Arithmetic: Theory and Applications, Van Nostrand Reinhold Co., New York, 1985.
2 Y. S. Yun, J. C. Song and J. W. Park, Normal fuzzy probability for quadratic fuzzy number, Journal of fuzzy logic and intelligent systems 15 (2005), no. 3, 277-281.   DOI   ScienceOn
3 Y. S. Yun and J. W. Park, The extended operations for generalized quadratic fuzzy sets, Journal of Fuzzy Logic and Intelligent System 20 (2010), no. 4, 592-595.
4 H. J. Zimmermann, Fuzzy set Theory - and Its Applications, Kluwer-Nijhoff Publishing, Boston-Dordrecht-Lancaster, 1985.
5 L. A. Zadeh, The concept of a linguistic variable and its application to approx- imate reasoning - I, Information Sciences 8 (1975), 199-249.   DOI   ScienceOn
6 L. A. Zadeh, Probability measures of fuzzy events, J. Math. Anal. Appl. 23 (1968), 421-427.   DOI