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Issue:Conditional probability and independence of intuitionistic fuzzy events: Difference between revisions

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  | title          = Conditional probability and independence of intuitionistic fuzzy events
  | title          = Conditional probability and independence of intuitionistic fuzzy events
| shortcut        = nifs/6/1/07-14
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  | keywords        = [[Intuitionistic fuzzy sets]], [[Intuitionistic fuzzy event]], Independence of events, Conditional probability, Probability of intuitionistic fuzzy event
  | keywords        = [[Intuitionistic fuzzy sets]], [[Intuitionistic fuzzy event]], Independence of events, Conditional probability, Probability of intuitionistic fuzzy event
  | references      =  
  | references      =  
# [[Krassimir Atanassov|Atanassov K.]] (1986), Intuitionistic Fuzzy Sets, [[Fuzzy Sets and Systems]] 20,87-96.
# [[Krassimir Atanassov|Atanassov K.]] (1986), [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]], [[Fuzzy Sets and Systems]] 20,87-96.
# Atanassov K. (1989), More on Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 33,37-46.  
# Atanassov K. (1989), [[Issue:More on intuitionistic fuzzy sets|More on intuitionistic fuzzy sets]], Fuzzy Sets and Systems 33,37-46.  
# Atanassov K. (1994a), New Operations Defined over the Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 61, 137-142.  
# Atanassov K. (1994a), [[Issue:New operations defined over the intuitionistic fuzzy sets|New operations defined over the intuitionistic fuzzy sets]], Fuzzy Sets and Systems 61, 137-142.  
# Atanassov K. (1994b), Operators over Interval Valued Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 64, 159-174.  
# Atanassov K. (1994b), [[Issue:Operators over interval valued intuitionistic fuzzy sets|Operators over interval valued intuitionistic fuzzy sets]], Fuzzy Sets and Systems 64, 159-174.  
# Atanassov K. (1999), [[Intuitionistic Fuzzy Sets: Theory and Applications]], Physica-Verlag.  
# Atanassov K. (1999), [[Intuitionistic Fuzzy Sets: Theory and Applications]], Physica-Verlag.  
# Pacholczyk D. (1999), An Approach to Linguistic Negation of Fuzzy Property Combination, Proceedings of the 7th European Congress on Intelligent Techniques and Soft Computing EUFIT'99, Aachen, on CD-Rom.  
# Pacholczyk D. (1999), An Approach to Linguistic Negation of Fuzzy Property Combination, Proceedings of the 7th European Congress on Intelligent Techniques and Soft Computing EUFIT'99, Aachen, on CD-Rom.  
# [[Eulalia Szmidt|Szmidt E.]], [[Janusz Kacprzyk|Kacprzyk J.]] (1996a), Intuitionistic Fuzzy Sets in Decision Making, Notes on IFS Vol. 2, No 1, 15-32.  
# [[Eulalia Szmidt|Szmidt E.]], [[Janusz Kacprzyk|Kacprzyk J.]] (1996a), Intuitionistic Fuzzy Sets in Decision Making, Notes on IFS Vol. 2, No 1, 15-32.  
# Szmidt E., Kacprzyk J. (1996b), Group Decision Making via Intuitionistic Fuzzy Sets in Decision Making, Proceeding of FUBEST'96, Sofia, 107-112.  
# Szmidt E., Kacprzyk J. (1996b), Group Decision Making via Intuitionistic Fuzzy Sets in Decision Making, Proceeding of FUBEST'96, Sofia, 107-112.  
# Szmidt E., Kacprzyk J. (1996c), Remarks on Some Applications on Intuitionistic Fuzzy Sets in Decision Making, Notes on IFS Vol. 2, No 3, 22-31.  
# Szmidt E., Kacprzyk J. (1996c), [[Issue:Remarks on some applications on intuitionistic fuzzy sets in Decision Making|Remarks on some applications on intuitionistic fuzzy sets in Decision Making]], [[Notes on Intuitionistic Fuzzy Sets/02/3|Notes on IFS Vol. 2, No 3]], 22-31.  
# Szmidt E., Kacprzyk J. (1997), Intuitionistic Fuzzy Sets for More Realistic Group Decision Making, Proceedings of TRANSITIONS'97, Warsaw, pp. 430-433.  
# Szmidt E., Kacprzyk J. (1997), Intuitionistic Fuzzy Sets for More Realistic Group Decision Making, Proceedings of TRANSITIONS'97, Warsaw, pp. 430-433.  
# Szmidt E., Kacprzyk J. (1998a), Group Decision Making under Intuitionistic Fuzzy Preference Relations, Proceedings of the 7th Int. Conference IMPU'98, Paris, pp. 172-178.  
# Szmidt E., Kacprzyk J. (1998a), Group Decision Making under Intuitionistic Fuzzy Preference Relations, Proceedings of the 7th Int. Conference IMPU'98, Paris, pp. 172-178.  

Latest revision as of 20:39, 3 June 2009

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Title of paper: Conditional probability and independence of intuitionistic fuzzy events
Author(s):
Przemysław Grzegorzewski
Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
F. Math. Inf. Sci. Warsaw Univ. of Technology, Plac Politechniki 1, 00-661, Warsaw, Poland
Published in: "Notes on IFS", Volume 6 (2000) Number 1, pages 7—14
Download:  PDF (388  Kb, Info)
Abstract: The notion of independence of events and the concept of condtional probability is generalized on the intuitionistic fuzzy events.
Keywords: Intuitionistic fuzzy sets, Intuitionistic fuzzy event, Independence of events, Conditional probability, Probability of intuitionistic fuzzy event
References:
  1. Atanassov K. (1986), Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20,87-96.
  2. Atanassov K. (1989), More on intuitionistic fuzzy sets, Fuzzy Sets and Systems 33,37-46.
  3. Atanassov K. (1994a), New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems 61, 137-142.
  4. Atanassov K. (1994b), Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 64, 159-174.
  5. Atanassov K. (1999), Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag.
  6. Pacholczyk D. (1999), An Approach to Linguistic Negation of Fuzzy Property Combination, Proceedings of the 7th European Congress on Intelligent Techniques and Soft Computing EUFIT'99, Aachen, on CD-Rom.
  7. Szmidt E., Kacprzyk J. (1996a), Intuitionistic Fuzzy Sets in Decision Making, Notes on IFS Vol. 2, No 1, 15-32.
  8. Szmidt E., Kacprzyk J. (1996b), Group Decision Making via Intuitionistic Fuzzy Sets in Decision Making, Proceeding of FUBEST'96, Sofia, 107-112.
  9. Szmidt E., Kacprzyk J. (1996c), Remarks on some applications on intuitionistic fuzzy sets in Decision Making, Notes on IFS Vol. 2, No 3, 22-31.
  10. Szmidt E., Kacprzyk J. (1997), Intuitionistic Fuzzy Sets for More Realistic Group Decision Making, Proceedings of TRANSITIONS'97, Warsaw, pp. 430-433.
  11. Szmidt E., Kacprzyk J. (1998a), Group Decision Making under Intuitionistic Fuzzy Preference Relations, Proceedings of the 7th Int. Conference IMPU'98, Paris, pp. 172-178.
  12. Szmidt E., Kacprzyk J. (1998b), Applications of !ntuitionistic Fuzzy Sets in Deecision Making, Proceedings of the 8th Congreso EUSFLAT'98, Pampelona, pp. 150-158.
  13. Szmidt E., Kacprzyk J. (1999a), A Concept of a Probability of an !ntuitionistic Fuzzy Event, Proceedings of the 1999 IEEE International Fuzzy Systems Conferrence, Seoul, pp. 1346-1349.
  14. Szmidt E., Kacprzyk J. (1999b), !ntuitionistic Fuzzy Events and their Real-valued Probabilities, Proceedings of the 7th European Congress on Intelligent Techniques and Soft Computing EUFIT'99, Aachen, on CD-Rom.
  15. Szmidt E., Kacprzyk J. (1999c), Probability of !ntuitionistic Fuzzy Events and Their Applications in Decision Making, Proceedings of the 9th Congreso EUSFLAT'99, pp. 457-460.
  16. Zadeh L.A. (1968), Probability Measures of Fuzzy Events, J. Math. Anal. Appl. 23,421-427.
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