Group decision making approach based on interval-valued intuitionistic linguistic geometric aggregation operators. (1st January 2013)

• Record Type: Journal Article
• Authors: Wang, Xin-Fan; Wang, Jian-Qiang; Yang, Wu-E
• Is Part Of: International journal of intelligent information and database systems. Volume 7:Number 6(2013)
• Page Start: 516
• Page End: 534
• Publication Date: 2013-01-01
• Subjects: group decision making -- interval-valued intuitionistic linguistic number -- IVILN -- IVILWG operator -- IVILOWG operator -- IVILHG operator; Database management -- Computer programs -- Periodicals; Information retrieval -- Computer programs -- Periodicals; Information storage and retrieval systems -- Computer programs -- Periodicals; Artificial intelligence -- Periodicals; Expert systems (Computer science) -- Periodicals; Intelligent agents (Computer software) -- Periodicals; 006.33
• Languages: English
• ISSNs: 1751-5858

Abstract

In this paper, a new concept of interval-valued intuitionistic linguistic number (IVILN), which is characterised by a linguistic term, an interval-valued membership degree and an interval-valued non-membership degree, is first introduced. Then, score function, accuracy function and some multiplicative operational laws of IVILNs are defined. Based on these two functions, a simple approach for the comparison between two IVILNs is presented. Based on these operational laws, some new geometric aggregation operators, such as the interval-valued intuitionistic linguistic weighted geometric (IVILWG) operator, interval-valued intuitionistic linguistic ordered weighted geometric (IVILOWG) operator and interval-valued intuitionistic linguistic hybrid geometric (IVILHG) operator, are proposed, and some desirable properties of these operators are established. Furthermore, by using the IVILWG operator and the IVILHG operator, a group decision making approach, in which the criterion values are IVILNs and the criterion weight information is known completely, is developed. Finally, an illustrative example is given to demonstrate the feasibility and effectiveness of the developed method.