An alternative core information of hesitant fuzzy linguistic term sets for linguistic decision making

摘要

The core information of hesitant fuzzy linguistic term sets is an important concept in hesitant fuzzy linguistic decision making, which is decided by "min_ upper" and "max-lower" operators on hesitant fuzzy linguistic term sets. In the paper, we first provide t-norms and t-conorms on hesitant fuzzy linguistic term sets and discuss their properties. Then, we propose an alternative core information of hesitant fuzzy linguistic term sets based on t-norms and t-conorms. Finally, we utilize the new core information of hesitant fuzzy linguistic term sets for hesitant fuzzy linguistic decision making. We provide an example to illustrate the practicality of the new core information and comparison with the classical core information of hesitant fuzzy linguistic term sets, it seems that the new core information based on t-norms and t-conorms may be an alternative tool for hesitant fuzzy linguistic decision making.