Advances in type-2 fuzzy sets and systems.

*(English)*Zbl 1117.03060Summary: In this state-of-the-art paper, important advances that have been made during the past five years for both general and interval type-2 fuzzy sets and systems are described. Interest in type-2 subjects is worldwide and touches on a broad range of applications and many interesting theoretical topics. The main focus of this paper is on the theoretical topics, with descriptions of what they are, what has been accomplished, and what remains to be done.

##### MSC:

03E72 | Theory of fuzzy sets, etc. |

03-02 | Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations |

93C42 | Fuzzy control/observation systems |

##### Keywords:

type-2 fuzzy sets; type-2 fuzzy systems; interval type-2 fuzzy sets; interval type-2 fuzzy logic systems; centroid; KM algorithms; computing with words; fuzzy weighted average
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