Generalized intuitionistic fuzzy soft sets with applications in decision-making

被引：157

作者：

Agarwal, Manish ^{[1
]}

Biswas, Kanad K. ^{[1
]}

Hanmandlu, Madasu ^{[2
]}

机构：

[1] Indian Inst Technol, Dept Comp Sci & Engn, New Delhi 110016, India

[2] Indian Inst Technol, Dept Elect Engn, New Delhi 110016, India

来源：

APPLIED SOFT COMPUTING | 2013年 / 13卷 / 08期

关键词：

Generalized; Intuitionistic fuzzy soft sets; Intuitionistic fuzzy soft relations; Multi criteria decision making; Score function; Similarity relation; SUPPLIER SELECTION; MODEL;

D O I：

10.1016/j.asoc.2013.03.015

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The concept of intuitionistic fuzzy soft set (IFSS) arising from intuitionistic fuzzy set (IFS) is generalized by including a parameter reflecting a moderator's opinion about the validity of the information provided. The resulting generalized intuitionistic fuzzy soft set (GIFSS) finds a special role in the decision making applications. It can evaluate the given criteria along with the moderator's assessment of the furnished data. The properties of GIFSS are investigated and the associated relations called generalized intuitionistic fuzzy soft relations (GIFSR) are given. A similarity measure is given to compare two GIFSSs. As this is not applicable to fuzzy numbers, a new score function is devised to compare two intuitionistic fuzzy numbers (IFNs), the components of IFS. The effectiveness of the proposed GIFSS in decision making is demonstrated on four case studies. (C) 2013 Elsevier B. V. All rights reserved.

引用

页码：3552 / 3566

页数：15

共 50 条

[41] Experimental analysis of score functions in multi-criteria decision-making with intuitionistic fuzzy sets [J].

Chen, Ting-Yu .

JOURNAL OF INDUSTRIAL AND PRODUCTION ENGINEERING, 2011, 28 (03) :206-225

[42] A Fuzzy Multicriteria Group Decision-Making Method with New Entropy of Interval-Valued Intuitionistic Fuzzy Sets [J].

Chen, Xiaohong ;

Yang, Li ;

Wang, Pei ;

Yue, Wei .

JOURNAL OF APPLIED MATHEMATICS, 2013,

[43] The fuzzy cross-entropy for intuitionistic hesitant fuzzy sets and their application in multi-criteria decision-making [J].

Peng, Juan-juan ;

Wang, Jian-qiang ;

Wu, Xiao-hui ;

Zhang, Hong-yu ;

Chen, Xiao-hong .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (13) :2335-2350

[44] TOPSIS method based on correlation coefficient for solving decision-making problems with intuitionistic fuzzy soft set information [J].

Garg, Harish ;

Arora, Rishu .

AIMS MATHEMATICS, 2020, 5 (04) :2944-+

[45] Some Generalized Complex Intuitionistic Fuzzy Aggregation Operators and Their Application to Multicriteria Decision-Making Process [J].

Garg, Harish ;

Rani, Dimple .

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2019, 44 (03) :2679-2698

[46] Some Generalized Complex Intuitionistic Fuzzy Aggregation Operators and Their Application to Multicriteria Decision-Making Process [J].

Harish Garg ;

Dimple Rani .

Arabian Journal for Science and Engineering, 2019, 44 :2679-2698

[47] Intuitionistic Fuzzy Soft Preference Relations and Application in Decision Making [J].

Agarwal, Manish ;

Hanmandlu, Madasu ;

Biswas, Kanad K. .

2013 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ - IEEE 2013), 2013,

[48] Generalized interval-valued hesitant intuitionistic fuzzy soft sets [J].

Nazra, Admi ;

Asdi, Yudiantri ;

Wahyuni, Sisri ;

Ramadhani, Hafizah ;

Zulvera .

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 40 (06) :11039-11050

[49] Group decision-making method based on generalized Vague N-soft sets [J].

Chen, Yanan ;

Liu, Jianbo ;

Chen, Ziyue ;

Zhang, Yanyan .

PROCEEDINGS OF THE 32ND 2020 CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2020), 2020, :4010-4015

[50] Group decision-making analysis with complex spherical fuzzy N-soft sets [J].

Akram, Muhammad ;

Farooq, Adeel ;

Shabir, Maria ;

Al-Shamiri, Mohammed M. Ali ;

Khalaf, Mohammed M. .

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2022, 19 (05) :4991-5030

← 1 2 3 4 5 →