ELEMENTS OF FUZZY LOGIC NUMBERS

Lavinia Gabriela SOCACIU, Ioan BLEBEA

Abstract


This paper synthesizes the main properties of fuzzy numbers and fuzzy logic operators also. We considered this study timely because; in many applications easily pass over some theoretical aspects related to this area, which has applications in front of theoretical studies. This process, in which applications run on mathematical theories, is natural. This paper brings its modest contribution to the crystallization properties of the theory of fuzzy logic numbers. We put in evidence the fundamental aspect of the embedding functions from theory of fuzzy numbers, but not only, embedding functions appear as fuzzification and defuzzification operations. Key words: fuzzy logic, fuzzy numbers, embedding functions, fuzzification, defuzzyfication

Full Text:

PDF

References


J.M. Adamo, Fuzzy decision tree, fuzzy Sets and Systems, 1980.

P.P. Bonissone, A fuzzy sets based linguistic approach: theory and applications, in Aproximate Reasoning in Decion Analysis.Ed. Nort-Holland Publishing Company, 1982.

D. Dubois and H.Prade, Operations on Fuzzy Number, The International Journal of Systems Science, vol 19, 1978.

D. Dubois and H. Prade, Fuzzy sets and systems, Academic Press, New York, 1980

T.L. Harman, Advanced Engineering Mathematics Using MATLAB, PWS Pub. Co., Boston, 1997.

A.Kaufmann and M.M. Gupta, Introduction to Fuzzy Arithmetic Theory and Application, Van Nostrand Reinhold, New York, 1991.

J.Klir and B.Yuan, Fuzzy sets and fuzzy logic:theory and applications, Prentice-Hall, Englewood Cliffs, New Jersy, 1995.

C.V. Negoita, Expers systems and fuzzy systems, The Benjamin/Cummings, California, 1985.

T.J.Ross, Fuzzy logic with engineering applications, McGraw-Hill Book Co, New York, 1997.

R. Yager and L.Zadeh, An introduction to fuzzy logic applications in intelligent systems, USA: Kluwer Academic Publishers, Boston, 1992.

L., Zadeh., Fuzzy sets, Information and control,1965.

L., Zadeh., The linguistic approach and its application to decision analysis, Proceedings of conference on directions in decentralized control, Plenum Press 1976.

L. Zadeh, Fuzzy logic, neural network, and soft computing, Communications of the ACM 37,1994.

L. Zadeh, Toward a generalized theory of uncertainty (GTU) – An outline. Information Sciences 172, 2005.

H.J. Zimmermann, Fuzzy set theory and its application, Kluwer Academic Publisher, Massachusetts, 1996.


Refbacks

  • There are currently no refbacks.


JOURNAL INDEXED IN :