Fuzzy N-soft sets: A novel model with applications

被引：136

作者：

Akram, Muhammad ^{[1
]}

Adeel, Arooj ^{[1
]}

Alcantud, Jose Carlos R. ^{[2
,3
]}

机构：

[1] Univ Punjab, Dept Math, New Campus, Lahore, Pakistan

[2] Univ Salamanca, BORDA Res Unit, Salamanca, Spain

[3] Univ Salamanca, IME, Salamanca, Spain

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2018年 / 35卷 / 04期

关键词：

Soft sets; N-soft sets; (F; N)-soft sets; ordered grades; decision-making; DECISION-MAKING; THEORETIC APPROACH; ALGORITHMS;

D O I：

10.3233/JIFS-18244

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This article introduces a new hybrid model called fuzzy N-soft sets. It is a suitable combination of fuzzy set theory with N-soft sets, a model that in turn extends soft sets. Our novel concept is illustrated with real life examples, which have uncertainties in data that can be correctly captured by this structure. Moreover, we investigate some useful properties of fuzzy N-soft sets and construct fundamental operations on them. Furthermore, its relationships with existing models like N-soft sets, soft sets and fuzzy sets are studied too. Finally, potential applications of fuzzy N-soft sets in decision-making are presented with algorithms.

引用

页码：4757 / 4771

页数：15

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