Fermatean fuzzy sets

被引：657

作者：

Senapati, Tapan ^{[1
]}

Yager, Ronald R. ^{[2
]}

机构：

[1] Vidyasagar Univ, Dept Appl Math Oceanol & Comp Programming, Midnapore 721102, India

[2] Iona Coll, Machine Intelligence Inst, New Rochelle, NY 10801 USA

来源：

JOURNAL OF AMBIENT INTELLIGENCE AND HUMANIZED COMPUTING | 2020年 / 11卷 / 02期

关键词：

Fermatean fuzzy set; Euclidean distance; Multi-criteria decision making; TOPSIS; PYTHAGOREAN MEMBERSHIP GRADES; CRITERIA DECISION-MAKING; TOPSIS METHOD; EXTENSION; FUZZINESS; NEGATION;

D O I：

10.1007/s12652-019-01377-0

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 propose Fermatean fuzzy sets. We compare Fermatean fuzzy sets with Pythagorean fuzzy sets and intuitionistic fuzzy sets. We focus on complement operator of Fermatean fuzzy sets. We find out the fundamental set of operations for the Fermatean fuzzy sets. We define score function and accuracy function for ranking of Fermatean fuzzy sets. In addition, we also study Euclidean distance between two Fermatean fuzzy sets. Later, we establish a Fermatean fuzzy TOPSIS method to fix multiple criteria decision-making problem. Ultimately, an interpretative example is stated in details to justify the elaborated method and to illustrate its viability and usefulness.

引用

页码：663 / 674

页数：12

共 47 条

[1] Neutrosophic AHP-Delphi Group decision making model based on trapezoidal neutrosophic numbers [J].

Abdel-Basset, Mohamed ;

Mohamed, Mai ;

Sangaiah, Arun Kumar .

JOURNAL OF AMBIENT INTELLIGENCE AND HUMANIZED COMPUTING, 2018, 9 (05) :1427-1443

[2]

[Anonymous], FUZZY SETS GEN NETS

[3]

[Anonymous], 2012, NEW DEV FUZZY SETS I

[4]

[Anonymous], FUZZY SETS

[5]

[Anonymous], THESIS

[6]

Atanassov K., 2017, ADV DATA ANAL COMPUT, V13, P265

[7]

Atanassov K., 2013, INTUITIONISTIC FUZZY

[8]

Atanassov K.T., 1983, B STUD EXCH FUZZINES, P66

[9]

Atanassov KT, 2012, STUD FUZZ SOFT COMP, V283, P1, DOI 10.1007/978-3-642-29127-2

[10] INTUITIONISTIC FUZZY-SETS [J].

ATANASSOV, KT .

FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96

← 1 2 3 4 5 →