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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 57 | Number 2 | Year 2018 | Article Id. IJMTT-V57P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P512

Pseudo Arithmetic Operations on Fuzzy Measure


N.Sarala, S.Jothi
Abstract

In this paper the axiomatic approach to the Pseudo arithmetical operations of pseudo addition and pseudo multiplication is discussed.Also several properties of ⊕ and ⨂ their consequences are discussed and illustrated by examples.

Keywords
Pseudo addition,pseudo multiplication,semi ring,distributivity , decomposable measure , Lebesgue measure.
References

1) A .Chateauneuf Decomposable capacities distorted probabilities and concave capacities math social sci 31(1996)
2) R.Mesiar E.pap idempotent integral as limit of g integral Fuzzy sets and systems 102 (1999)
3) Lj.Nedovie ,T.Grabic ,the pseudo probability,journal of electrical engineering vol 53,no 12(2002)
4) E.Pap An integral generated by decomposable measure university novom sadu zh rad priod mat fak ser mat 20(1) 1990
5) M.Sugeno,Theory of fuzzy integral and its applications doctoral dissertion Tokyo institute of technology1974.
6) S.Weber ,┴ decomposable measure and integral for archimedian t conorms ┴

Citation :

N.Sarala, S.Jothi, "Pseudo Arithmetic Operations on Fuzzy Measure," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 2, pp. 78-84, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P512

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