An extended TODIM approach with intuitionistic linguistic numbers. (7th December 2016)

• Record Type: Journal Article
• Authors: Yu, Su‐min; Wang, Jing; Wang, Jian‐qiang
• Other Names: Clímaco João guestEditor.; Romero Carlos guestEditor.; Ruiz Francisco guestEditor.
• Is Part Of: International transactions in operational research. Volume 25:Number 3(2018)
• Page Start: 781
• Page End: 805
• Publication Date: 2016-12-07
• Subjects: intuitionistic linguistic numbers -- TODIM -- nonlinear programming -- generalized distance function; Operations research -- Periodicals; 003
• DOI: 10.1111/itor.12363
• Languages: English
• ISSNs: 0969-6016

Abstract

Abstract: In many practical problems, multiple alternatives are ranked with respect to related criteria, and the criteria's weights are usually unknown. In order to solve this kind of multicriteria decision making (MCDM) problem, this paper proposes an interactive MCDM approach based on an acronym in Portuguese of interactive and multicriteria decision‐making (TODIM) method and nonlinear programming (NLP) with intuitionistic linguistic numbers (ILNs). First, by comparing the existing operations and comparison methods for ILNs, new operations and a new comparison method are defined based on linguistic scale functions to obtain rational results. Second, considering their linguistic terms, membership degrees, and nonmembership degrees as a whole, the generalized distance between ILNs is defined with an adjustable parameter. Third, the total ranking of alternatives is obtained using the proposed NLP‐based TODIM approach based on the generalized ILN distance. Finally, an example of selecting hotels from a tourism website is presented to verify the validity and feasibility of the proposed approach. A comparison with existing methods is also conducted and analyzed.