Generalized Union and Intersection of
Fuzzy Soft Sets

Chandana Goswami; Tridiv Jyoti Neog; Dusmanta Kumar Sut

doi:https://doi.org/10.14445/22315373/IJMTT-V2I2P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 2 | Issue 2 | Year 2011 | Article Id. IJMTT-V2I2P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V2I2P503

Generalized Union and Intersection of Fuzzy Soft Sets

Chandana Goswami, Tridiv Jyoti Neog, Dusmanta Kumar Sut

Citation :

Chandana Goswami, Tridiv Jyoti Neog, Dusmanta Kumar Sut, "Generalized Union and Intersection of Fuzzy Soft Sets," International Journal of Mathematics Trends and Technology (IJMTT), vol. 2, no. 2, pp. 11-14, 2011. Crossref, https://doi.org/10.14445/22315373/IJMTT-V2I2P503

Abstract

The generalization of the notion of union and intersection laid down by Zadeh in his pioneer work in 1965 was initiated by Chakrabarty. The necessity of such an attempt was also stated with practical examples. Maji initiated the notion of fuzzy soft set and introduced some properties regarding fuzzy soft union, intersection, complement of a fuzzy soft set, DeMorgan Laws etc. These results were further revised and improved by Ahmad and Kharal. They defined arbitrary fuzzy soft union and intersection and proved DeMorgan Inclusions and DeMorgan Laws in Fuzzy Soft Set Theory. In 2011, Neog and Sut studied further and put forward some more propositions on fuzzy soft set theory. In this paper, we have studied the notion of union and intersection of two fuzzy soft sets in two fuzzy soft classes and propose some related results. Our work is an attempt to generalize the notion of union and intersection of fuzzy soft sets.

Keywords

Soft Set, Fuzzy Soft Set, Union of Fuzzy Soft Sets, Intersection of Fuzzy Soft Sets.

References

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