Picture Fuzzy Soft Robust VIKOR Method and its Applications in Decision-Making

被引：11

作者：

Khan, Muhammad Jabir ^{[1
]}

Kumam, Poom ^{[1
,2
,3
]}

Kumam, Wiyada ^{[4
]}

Al-Kenani, Ahmad N. ^{[5
]}

机构：

[1] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Dept Math, KMUTT Fixed Point Res Lab, Sci Lab Bldg, Bangkok, Thailand

[2] King Mongkuts Univ Technol Thonburi KMUTT, Ctr Excellence Theoret & Computat Sci TaCS CoE, SCL 802 Fixed Point Lab,Sci Lab Bldg, Bangkok 10140, Thailand

[3] King Mongkuts Univ Technol Thonburi KMUTT, Fixed Point Theory & Applicat Res Grp, SCL 802 Fixed Point Lab,Sci Lab Bldg, Bangkok 10140, Thailand

[4] Rajamangala Univ Technol Thanyaburi RMUTT, Fac Sci & Technol, Dept Math & Comp Sci, Appl Math Sci & Engn Res Unit AMSERU,Program Appl, Thanyaburi 12110, Pathumthani, Thailand

[5] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia

来源：

FUZZY INFORMATION AND ENGINEERING | 2021年 / 13卷 / 03期

关键词：

VIKOR method; picture fuzzy soft set; distance measures; similarity measures; multi-attribute decision-making; AGGREGATION OPERATORS; SET;

D O I：

10.1080/16168658.2021.1939632

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper introduces the Euclidean, Hamming, and the generalized distance measures for picture fuzzy soft sets and discusses their properties. The numerical examples of decision-making and pattern recognition are focused. We also develop a robust VIKOR method for PFSSs. The relative and precise ideal picture fuzzy values (PFVs), robust factors and ranking indexes are defined. Different algorithmic procedures of robust VIKOR based on the relative and precise ideal PFVs, relative and precise robust factor, precise and picture fuzzy weights and relative and precise ranking indexes are proposed. In the end, the investment problem is solved by using the proposed method.

引用

页码：296 / 322

页数：27

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