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Issue:On a hesitancy margin and a probability of intuitionistic fuzzy events: Difference between revisions
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{{issue/title | {{issue/title | ||
| title = On a hesitancy margin and a probability of intuitionistic fuzzy events | | title = On a hesitancy margin and a probability of intuitionistic fuzzy events | ||
| shortcut = nifs/7/1/04-09 | |||
}} | }} | ||
{{issue/author | {{issue/author | ||
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| file = NIFS-07-1-04-09.pdf | | file = NIFS-07-1-04-09.pdf | ||
| format = PDF | | format = PDF | ||
| size = | | size = 166 | ||
| abstract = | | abstract = | ||
[[Krassimir Atanassov|K. Atanassov]]'s idea of an intuitionistic fuzzy set aimed at improving a formal description of phenomena diverse in meaning in relation to [[Lotfi Zadeh|L. A. Zadeh]]'s original conception of a fuzzy set. In the definition of an intuitionistic fuzzy set there appears a neglected element, the so-called [[intuitionistic fuzzy index]] ([[hesitancy margin]]), being a factor introducing traces of intuition to K. Atanassov's idea. In the present paper, this factor is included in the concept of a probability of intuitionistic fuzzy events. | [[Krassimir Atanassov|K. Atanassov]]'s idea of an intuitionistic fuzzy set aimed at improving a formal description of phenomena diverse in meaning in relation to [[Lotfi Zadeh|L. A. Zadeh]]'s original conception of a fuzzy set. In the definition of an intuitionistic fuzzy set there appears a neglected element, the so-called [[intuitionistic fuzzy index]] ([[hesitancy margin]]), being a factor introducing traces of intuition to K. Atanassov's idea. In the present paper, this factor is included in the concept of a probability of intuitionistic fuzzy events. | ||
| keywords = [[Fuzzy sets]], [[Intuitionistic fuzzy sets]], Set relations and operations, [[Probability]], [[Fuzzy event]], [[Intuitionistic fuzzy event]], Probability of fuzzy events and of intuitionistic fuzzy events | | keywords = [[Fuzzy sets]], [[Intuitionistic fuzzy sets]], Set relations and operations, [[Probability]], [[Fuzzy event]], [[Intuitionistic fuzzy event]], Probability of fuzzy events and of intuitionistic fuzzy events | ||
| references = | | references = | ||
# K. Atanassov, Intuitionistic fuzzy sets, VII ITKR's Session, Sofia, June 1983 (deposed in Central Sci.-Techn. Library of Bulg. Acad. of Sci. 1697184 (in Bulgarian)). | # K. Atanassov, [http://www.clbme.bas.bg/bioautomation/2016/vol_20.s1/files/20.s1_02.pdf Intuitionistic fuzzy sets], VII ITKR's Session, Sofia, June 1983 (deposed in Central Sci.-Techn. Library of Bulg. Acad. of Sci. 1697184 (in Bulgarian)). | ||
# K. Atanassov, [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]], [[Fuzzy Sets and Systems]], 20, 1986, p. 87-96. | # K. Atanassov, [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]], [[Fuzzy Sets and Systems]], 20, 1986, p. 87-96. | ||
# K. Atanassov, [[Intuitionistic Fuzzy Sets: Theory and Applications]], Springer Verlag, 1999. | # K. Atanassov, [[Intuitionistic Fuzzy Sets: Theory and Applications]], Springer Verlag, 1999. | ||
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# L. A. Zadeh, Probability measure of fuzzy events, J. Math. Anal. Appl. 23, 1968, p. 421-427. | # L. A. Zadeh, Probability measure of fuzzy events, J. Math. Anal. Appl. 23, 1968, p. 421-427. | ||
| citations = | | citations = | ||
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| see-also = | | see-also = | ||
}} | }} |
Latest revision as of 12:10, 28 February 2017
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