Geodesic
On type-2 fuzzy sets and type-2 fuzzy systems
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part I, Tome 165 (2019), pp. 114-122

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One of the advantages of systems based on fuzzy logic (fuzzy systems) is the possibility of a soft switch from one set of values of input parameters of the system to another, when different conclusions are drawn for different sets of these values. A fuzzy set of type $2$ is a direct generalization of an ordinary fuzzy set. In this paper, we review some branches of the theory of type-$2$ fuzzy sets and the theory of type-$2$ fuzzy systems. We discuss operations on type-$2$ fuzzy sets, type-$2$ fuzzy relations, and the centroids of type-$2$ fuzzy sets and describe type-$2$ functional fuzzy systems and type-$2$ relational fuzzy systems.
Keywords: fuzzy set of type 2, fuzzy relation of type 2, functional fuzzy system, relational fuzzy system. 
@article{INTO_2019_165_a9,
     author = {A. S. Shvedov},
     title = {On type-2 fuzzy sets and type-2 fuzzy systems},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {114--122},
     publisher = {mathdoc},
     volume = {165},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_165_a9/}
}
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A. S. Shvedov. On type-2 fuzzy sets and type-2 fuzzy systems. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part I, Tome 165 (2019), pp. 114-122. http://geodesic.mathdoc.fr/item/INTO_2019_165_a9/