Generalized Fuzzy σ - Algebra and Generalized Fuzzy Measure on Soft Sets

Vakkas Ulucay; Mehmet Sahin; Necati Olgun; Ozge Oztekin   and Aykut Emniyet

doi:10.17485/ijst/2016/v9i4/61989

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Generalized Fuzzy σ - Algebra and Generalized Fuzzy Measure on Soft Sets

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2016/v9i4/61989

Year: 2016, Volume: 9, Issue: 4, Pages: 1-7

Original Article

Generalized Fuzzy σ - Algebra and Generalized Fuzzy Measure on Soft Sets

Vakkas Ulucay^1*, Mehmet Sahin¹ , Necati Olgun¹ , Ozge Oztekin¹ and Aykut Emniyet²

¹Department of Mathematics, Gaziantep University, Gaziantep, Turkey; [email protected], [email protected], [email protected], [email protected] ²Department of Mathematics, Osmaniye Korkut Ata University, Osmaniye, Turkey; [email protected]

*Author For Correspondence
Vakkas Ulucay Department of Mathematics, Gaziantep University, Gaziantep, Turkey; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this paper, we define soft fuzzy De Morgan algebra, soft generalized fuzzy σ algebra and soft generalized fuzzy measure. Related to these definitions, we give some examples, lemmas and interesting results on soft generalized fuzzy measure space.

Keywords: Soft Fuzzy De Morgan Algebra, Soft Fuzzy Measure, Soft Fuzzy σ Algebra