Spherical fuzzy sets and its representation of spherical fuzzy t-norms and t-conorms

被引：123

作者：

Ashraf, Shahzaib ^{[1
]}

Abdullah, Saleem ^{[1
]}

Aslam, Muhammad ^{[2
]}

Qiyas, Muhammad ^{[1
]}

Kutbi, Marwan A. ^{[3
]}

机构：

[1] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Pakistan

[2] King Khalid Univ, Dept Math, Abha, Saudi Arabia

[3] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2019年 / 36卷 / 06期

关键词：

Spherical fuzzy sets; spherical fuzzy t '-norm; spherical fuzzy t '-conorm;

D O I：

10.3233/JIFS-181941

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we introduce spherical fuzzy sets (SFSs) which is an advanced tool of the fuzzy sets, intuitionistic fuzzy sets and picture fuzzy sets. We investigate the basic properties of SFSs and compare the idea SFSs with picture fuzzy sets. The spaces of spherical membership grades and picture membership grades are examined by graphically. Some useful operation such as spherical fuzzy t'-norms and spherical fuzzy t'-conorms are introduced. Also introduced spherical fuzzy negator and some classifications of spherical fuzzy t'-norms and spherical fuzzy t'-conorms which are useful for development the aggregation operator to aggregate the spherical fuzzy information. Finally, a food circulation center evaluation problem is given as a practical application to demonstrate the usage and applicability of the proposed ranking approach.

引用

页码：6089 / 6102

页数：14

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