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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 63 | Number 2 | Year 2018 | Article Id. IJMTT-V63P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V63P518

Properties of Type -2 Fuzzy Boolean Algebra


Kundlik Gaware
Abstract

In this paper I study the Type 2 Fuzzy Boolean Algebra And It’s properties by using Type 2 Fuzzy Set Theory . I divided this paper into three section namely Classical set theory , fuzzy set and Type 2 Fuzzy Set .

Keywords
Boolean Algebra, Fuzzy Set, Type-2 Fuzzy Set.
References

[1] R. G. Boole : The calculus of logic ,Cambridge and Dublin Mathematical Journal ,Vol III pp 183-198 ,1948
[2] Mamoni Dhar : Fuzzy sets toward forming Boolean algebra , Internation Journal of Energy Information And Communication,Vol -2 issue – 4 Nov-2011
[3] L. Zadeh : Fuzzy Logic and it’s application to approximate reasoning information processing 74 pp 591-594,1974
[4] L. zadeh : Fuzzy sets information and control .8 pp 338-353 (1965).
[5] Jerry Mendel : Type -2 fuzzy set and system :How to learn about them IEEE ,2009
[6] Jerry Mendel : Type -2 fuzzy sets : Some Questions and answers IEEE Neural Network Society Aug 2003 pp 10-13.
[7] Jerry Mendel : Advances in Type 2 Fuzzy Sets and System ,information science vol 177 pp 84-110,2007
[8] X,Liu and Ju Ye , Fuzzy Boolean algebra and it’s properties ,Chinese Journals of Computers pp 53-61,1980

Citation :

Kundlik Gaware, "Properties of Type -2 Fuzzy Boolean Algebra," International Journal of Mathematics Trends and Technology (IJMTT), vol. 63, no. 2, pp. 140-144, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V63P518

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