Aggregation operators on cubic linguistic hesitant fuzzy numbers and their application in group decision-making

被引：15

作者：

Fahmi, Aliya ^{[1
]}

Abdullah, Saleem ^{[2
]}

Amin, Fazli ^{[1
]}

机构：

[1] Hazara Univ, Dept Math, Mansehra, Kpk, Pakistan

[2] Abdul Wali Khan Univ Mardan, Dept Math, Mardan, Kpk, Pakistan

来源：

GRANULAR COMPUTING | 2021年 / 6卷 / 02期

关键词：

Cubic linguistic fuzzy sets; Aggregation operator cubic linguistic hesitant fuzzy number; Multiple-attribute group decision-making; INFORMATION; SETS;

D O I：

10.1007/s41066-019-00188-0

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 define linguistic hesitant fuzzy sets. We introduce cubic linguistic fuzzy sets and their operational laws. We propose a cubic linguistic hesitant fuzzy sets and their operational laws. We describe aggregation operators for cubic linguistic hesitant fuzzy sets which extended the generalized cubic linguistic hesitant fuzzy averaging (geometric) operator, generalized cubic linguistic hesitant fuzzy weighted averaging (GLCHFWA) operator, generalized cubic linguistic hesitant fuzzy weighted geometric (GCHFWG) operator, generalized cubic linguistic hesitant fuzzy ordered weighted average (GCLHFOWA) operator, generalized cubic linguistic hesitant fuzzy ordered weighted geometric (GCLHFOWG) operator, generalized cubic linguistic hesitant fuzzy hybrid averaging (GCLHFHA) operator and generalized cubic linguistic hesitant fuzzy hybrid geometric (GCLHFHG) operator. Moreover, we relate these aggregation operators to develop an approach to multiple-attribute group decision-making with cubic linguistic-hesitant fuzzy information. Finally, the overall ranking of an alternative is obtained. This example is presented to illustrate the feasibility and effectiveness of the proposed approach.

引用

页码：303 / 320

页数：18

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