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

Uluçay, Vakkas; Şahin, Mehmet; Olgun, Necati; Öztekin, Özge; Emniyet, Aykut

doi:10.17485/ijst/2016/v9i4/61989

Cited by 3 publications

(2 citation statements)

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“…Smarandanche and others, studied neutrosophic algebraic structures [2][3][4] by using the idea of neutrosophic theory and this was the first neutrosofication of algebraic structures. Some authors [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] have studied neutrosophic algebraic structures and nowadays, researchers are still interested in this subject. The importance of this neutrosophic structures continues to increase.…”

Section: Introductionmentioning

confidence: 99%

Soft Neutrosophic Modules

Bal

Olgun

2018

Mathematics

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In this study, for the first time, we study some basic definitions of soft neutrosophic modules in algebra being generalized and its several related properties, structural characteristics are investigated with suitable examples. In this paper, we utilized neutrosophic soft sets and neutrosophic modules. As a result, we defined soft neutrosophic modules. After weak soft neutrosophic modules and strong soft neutrosophic modules are described and illustrated by examples. Finally soft neutrosophic module homomorphism is defined and soft neutrosophic module isomorphism is explained.

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Section: Introductionmentioning

confidence: 99%

Soft Neutrosophic Modules

Bal

Olgun

2018

Mathematics

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“…To overcome these kinds of difficulties, Molodtsov (1990) proposed a completely new approach, which is called soft set theory, for modeling uncertainty. Maji et al (2003) studied the theory of soft sets and developed several basic nations of soft sets theory in 2003 (Uluçay et al, 2016).…”

Section: Introducti̇onmentioning

confidence: 99%