LR-type fully Pythagorean fuzzy linear programming problems with equality constraints

被引：29
作者：
Akram, Muhammad [1 ]
Ullah, Inayat [1 ]
Allahviranloo, Tofigh [2 ]
Edalatpanah, S. A. [3 ]
机构：
[1] Univ Punjab, Dept Math, New Campus, Lahore, Pakistan
[2] Bahcesehir Univ, Fac Engn & Nat Sci, Istanbul, Turkey
[3] Ayandegan Inst Higher Educ, Dept Appl Math, Tonekabon, Iran
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2021年 / 41卷 / 01期
关键词：
Pythagorean fuzzy linear programming problem; ranking function; LR-type Pythagorean fuzzy numbers; GROUP DECISION-MAKING; MEMBERSHIP GRADES; OPTIMIZATION; TOPSIS;
D O I：
10.3233/JIFS-210655
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A Pythagorean fuzzy set is a powerful model for depicting fuzziness and uncertainty. This model is more flexible and practical as compared to an intuitionistic fuzzy model. This research article presents a new model called LR-type fully Pythagorean fuzzy linear programming problem. We consider the notions of LR-type Pythagorean fuzzy number, ranking for LR-type Pythagorean fuzzy numbers and arithmetic operations for unrestricted LR-type Pythagorean fuzzy numbers. We propose a method to solve LR-type fully Pythagorean fuzzy linear programming problems with equality constraints. We describe our proposed method with numerical examples including diet problem.
引用
收藏
页码：1975 / 1992
页数：18
相关论文
共 61 条
[51]   An integrated approach to green supplier selection based on the interval type-2 fuzzy best-worst and extended VIKOR methods [J].
Wu, Qun ;
Zhou, Ligang ;
Chen, Yu ;
Chen, Huayou .
INFORMATION SCIENCES, 2019, 502 :394-417
[52]   Enhancing multiple attribute group decision making flexibility based on information fusion technique and hesitant Pythagorean fuzzy sets [J].
Wu, Qun ;
Lin, Wenhao ;
Zhou, Ligang ;
Chen, Yu ;
Chen, Huayou .
COMPUTERS & INDUSTRIAL ENGINEERING, 2019, 127 :954-970
[53]   Pythagorean Fuzzy LINMAP Method Based on the Entropy Theory for Railway Project Investment Decision Making [J].
Xue, Wenting ;
Xu, Zeshui ;
Zhang, Xiaolu ;
Tian, Xiaoli .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2018, 33 (01) :93-125
[54]   Pythagorean Membership Grades in Multicriteria Decision Making [J].
Yager, Ronald R. .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2014, 22 (04) :958-965
[55]  
Yager RR, 2013, PROCEEDINGS OF THE 2013 JOINT IFSA WORLD CONGRESS AND NAFIPS ANNUAL MEETING (IFSA/NAFIPS), P57, DOI 10.1109/IFSA-NAFIPS.2013.6608375
[56]   Pythagorean Membership Grades, Complex Numbers, and Decision Making [J].
Yager, Ronald R. ;
Abbasov, Ali M. .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2013, 28 (05) :436-452
[57]   FUZZY SETS [J].
ZADEH, LA .
INFORMATION AND CONTROL, 1965, 8 (03) :338-&
[58]   Consensus and opinion evolution-based failure mode and effect analysis approach for reliability management in social network and uncertainty contexts [J].
Zhang, Hengjie ;
Dong, Yucheng ;
Xiao, Jing ;
Chiclana, Francisco ;
Herrera-Viedma, Enrique .
RELIABILITY ENGINEERING & SYSTEM SAFETY, 2021, 208
[59]   An overview on feedback mechanisms with minimum adjustment or cost in consensus reaching in group decision making: Research paradigms and challenges [J].
Zhang, Hengjie ;
Zhao, Sihai ;
Kou, Gang ;
Li, Cong-Cong ;
Dong, Yucheng ;
Herrera, Francisco .
INFORMATION FUSION, 2020, 60 (60) :65-79
[60]   Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets [J].
Zhang, Xiaolu ;
Xu, Zeshui .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2014, 29 (12) :1061-1078
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