Title of article
Hesitant Fuzzy Linguistic Arithmetic Aggregation Operators in Multiple Attribute Decision Making
Author/Authors
Guiwu Wei، Guiwu Wei نويسنده School of Business, Sichuan Normal University, Chengdu, 610101, P.R. China; Communications Systems and Networks (CSN) Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz Univer- sity, Jeddah 21589, Saudi Arabia , , Fuad E. Alsaadi، Fuad E. Alsaadi نويسنده Communications Systems and Networks (CSN) Research Group, De- partment of Electrical and Computer Engineering, Faculty of Engineering, King Ab- dulaziz University, Jeddah 21589, Saudi Arabia , , Tasawar Hayat، Tasawar Hayat نويسنده Department of Mathematics, Quaid-I-Azam University 45320, Islam- abad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia , , Ahmed Alsaedi، Ahmed Alsaedi نويسنده Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia ,
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2016
Pages
16
From page
1
To page
16
Abstract
دراين مقاله، مسيله ي تصميم گيري توصيفي چندگانه (MADM ) براساس عملگرهاي انباشتگي حسابي و هندسي با دانش زبان شناختي فازي را مورد بررسي قرار مي دهيم. سپس با الهام از ايده عملگر حسابي سنتي، برخي از عملگرهاي انباشتگي براي دانش زبان شناختي فازي غير منطقي را گسترش داده ايم كه عبارتند از : عملگر ميانگين وزن زبان شناختي فازي غير منطقي ( HFLWA ) ، عملگر ميانگين وزن مرتب زبان شناختي فازي غير منطقي( HFLOWA ) و عملگر ميانگين تركيبي زبان شناختي فازي غير منطقي( HFLHA ) . بعلاوه، مفهوم مجموعه زبان شناختي فازي غير منطقي را پيشنهاد و بعضي از عملگرهاي انباشتگي با دانش زبان شناختي غير منطقي دو گانه را گسترش مي دهيم. سپس، با بكار بردن اين عملگرها بعضي از رويكردها را گسترش داده ايم تا مسايل تصميم گيري توصيفي چند گانه زبان شناختي فازي غير منطقي را حل كنيم. سر انجام، يك مثال عملي ارايه گرديده تا رويكرد گسترش داده شده را تاييد و عملي و موثر بودن آن را نشان دهد.
Abstract
In this paper, we investigate the multiple attribute decision making (MADM) problem based on the arithmetic and geometric aggregation operators with hesitant fuzzy linguistic information. Then, motivated by the idea of traditional arithmetic operation, we have developed some aggregation operators for aggregating hesitant fuzzy linguistic information: hesitant fuzzy linguistic weighted average (HFLWA) operator, hesitant fuzzy linguistic ordered weighted average (HFLOWA) operator and hesitant fuzzy linguistic hybrid average (HFLHA) operator. Furthermore, we propose the concept of the dual hesitant fuzzy linguistic set and develop some aggregation operators with dual hesitant fuzzy linguistic information. Then, we have utilized these operators to develop some approaches to solve the hesitant fuzzy linguistic multiple attribute decision making problems. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness.
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Serial Year
2016
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Record number
2393139
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