Role of Z Fuzzy Relation in Approximate Reasoning

Authors

  • R. A. Latha Devi, G . Velammal

Keywords:

Z fuzzy Relation, Z fuzzy if-then rules, Compositional rule of inference on z-numbers.

Abstract

The development of Fuzzy sets were as a generalization of usual sets to take into account of uncertainty and  vagueness which are in daily life. In 2011 Zadeh further extended the concept of z-numbers which model the ‘fuzziness’ of  information and addition including  reliability factor. An z-number is an ordered pair of fuzzy numbers  where the first component gives the information and the second component deals with the reliability of information.Fuzzy relations have been well studied and they play a vital role in fuzzy logic. In this paper we extend the concept of fuzzy relation to Z fuzzy relation and show how z fuzzy if-then rules can be described. The generalized compositional rule of inference is also developed. It is applicable in theory of approximate reasoning, medical diagnosis  etc.

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References

Adlassnig. K.P. and G.kalarz[1982], CADIAG-2: Computer-assisted medical diagnosis using fuzzy subsets” In: Gupta, M.M and E. Sanchez, eds., Approximate Reasoning in Decision Analysis. North-Holland, New York, pp. 219-247.

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Sanchez. [1979],”Medical diagnosis and composite fuzzy relation” In: Gupta, M.M, R.K.Ragade & R.R.Yager, eds., Advances in Fuzzy set theory and application. North-Holland, New York, pp. 437-444.

Shahila bhanu.M. Velammal.G.,”Operation on Zadeh’s Z-numbers”, IOSR Journal of Mathematics 2015, 11 (3), pp. 88-94.

Zadeh.L.A. Fuzzy sets, Information and Control, 8 (1965), 338-353.

Zadeh.L.A. A note on Z-number, information science 2011,181, 2923-2932.

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Published

31.07.2024

How to Cite

R. A. Latha Devi. (2024). Role of Z Fuzzy Relation in Approximate Reasoning. International Journal of Intelligent Systems and Applications in Engineering, 12(22s), 2397–2400. Retrieved from https://www.ijisae.org/index.php/IJISAE/article/view/8078

Issue

Vol. 12 No. 22s (2024)

Section

Research Article

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