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http://ifigenia.org/wiki/issue:nifs/4/1/8-14
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| Title of paper:
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Bifuzzy probability of intuitionistic fuzzy set
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| Author(s):
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| Published in:
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"Notes on IFS", Volume 4 (1998), Number 1, pages 8—14
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| Download:
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 PDF (2645 Kb, Info)
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| Abstract:
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In the present paper we discuss the notion of (α,β)-level of an intuitionistic fuzzy set and the extension principle in the class of intuitionistic fuzzy sets as well as the application of this principle to defining a probability of intuitionistic fuzzy events as an intuitionistic fuzzy set, and not a number from the interval <0,1> - which is classical
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| Keywords:
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intuitionistic fuzzy set, (α,β)-level of a fuzzy set, decomposition of a fuzzy set, probability of a fuzzy event entropy
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| References:
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- K.Atanassov, Intuitionistic fuzzy sets, VII ITKR's Scientific Session, Sofia, June 1983
- K.Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96.
- J.Mahko, Probability, entropy and energy in bifuzzy set theory (in Polish), doctoral dissertation, Lodz University, 1992.
- D.Stojanova, Sets from (α,β)-level generated by an intuitionistic fuzzy sets. Principle of generalization. Proc. of conference "Mathematical Foundations of Artificial Intelligence Seminar", Institute for Microsystems, Sofia, November 1990, pp. 44-46.
- R.R. Yager, A note on probabilities of fuzzy events, Information Sciences 18 (1979), 113-129.
- LA.Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353.
- LA.Zadeh, Probability measure of fuzzy events, Journal of Math. Analysis and Applic. 23(1968), 421-427.
- LA.Zadeh, The concept of a linguistic variable and its applications to approximate reasoning, Part 1, Information Sciences 8 (1975), 199-249.
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