Journal
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
Volume 23, Issue 3, Pages 421-442Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021848851550018X
Keywords
Group decision making; GLOWHLA operator; GLOWLA operator; weighting vector; nonlinear goal programming
Categories
Funding
- National Natural Science Foundation of China [11426033, 71301001, 71371010, 71371011]
- Humanity and Social Science Youth foundation of Ministry of Education [13YJC630092]
- Anhui Provincial Philosophy and Social Science Planning Youth Foundation [AHSKQ2014D13]
- Higher School Specialized Research Fund for the Doctoral Program [20123401110001]
- Anhui Provincial Natural Science Foundation [1308085QG127]
- Provincial Natural Science Research Project of Anhui College [KJ2012A026]
- Humanities and Social Science Research Project of Department of Education of Anhui Province [SK2013B041]
- National Social Science Foundation Youth Project [13CGL011, 13CGL070]
- Doctoral Scientific Research Foundation of Anhui University
- Scientific Research Foundation of the Returned Overseas Chinese Scholars
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In this paper, we develop the generalized linguistic weighted logarithm averaging (GLWLA) operator and the generalized linguistic ordered weighted logarithm averaging (GLOWLA) operator in the group decision making under the linguistic surrounding. Then some properties of the families of the GLOWLA operator by different weighting vector are investigated. Furthermore, we present the generalized linguistic ordered weighted hybrid logarithm averaging (GLOWHLA) operator, which extends the GLOWLA operator. We also construct a nonlinear goal programming model to determine GLOWHLA weights from observational linguistic variable values under partial weight information. Finally, a numerical example is given to illustrate the new approach to evaluating university faculty for tenure and promotion, which indicates the feasibility and effectiveness of the new approach.
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