Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 22, Issue 1, Pages 35-45Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2013.2245136
Keywords
Consistency index; consistency measures; hesitant fuzzy linguistic preference relation (HFLPR); hesitant fuzzy linguistic term set (HFLTS)
Funding
- National Natural Science Foundation of China [71071161, 61273209]
- Innovation Foundation of Jiangsu Province [CXZZ12_0132]
- Best New Ph.D. of China Foundation
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Hesitant fuzzy linguistic term sets (HFLTSs) are used to deal with situations in which the decision makers (DMs) think of several possible linguistic values or richer expressions than a single term for an indicator, alternative, variable, etc. Compared with fuzzy linguistic approaches, they are more convenient and flexible to reflect the DMs' preferences in decision making. For further applications of HFLTSs to decision making, we develop a concept of hesitant fuzzy linguistic preference relations (HFLPRs) as a tool to collect and present the DMs' preferences. Due to the importance of the consistency measures using preference relations in decision making, we develop some consistency measures for HFLPRs to ensure that the DMs are being neither random nor illogical. A consistency index is defined to establish the consistency thresholds of HFLPRs to measure whether an HFLPR is of acceptable consistency. For HFLPRs with unacceptable consistency, we develop two optimization methods to improve the consistency until they are acceptable. Several illustrative examples are given to validate the consistency measures and the optimization methods.
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