Examples of Aggregation Operators on Membership Degrees of Type-2 Fuzzy Sets

DOI

10.2991/ifsa-eusflat-15.2015.102How to use a DOI?

Keywords

Type-2 fuzzy sets, functions from [0,1] to [0,1], normal and convex functions, aggregation operator.

Abstract

Z. Taká c in [16] introduced the aggregation operators on any subalgebra of M (set of all fuzzy membership degrees of the type-2 fuzzy sets, that is, the functions from [0,1] to [0,1]). Furthermore, he applied the Zadeh’s extension principle (see [24]) to obtain in [16, 17] a set of aggregation operators on L* (the strongly normal and convex functions of M). In this paper, we introduce the aggregation operators on any partially ordered and bounded set (poset). This will allow us to suitably provide aggregation operators onM. In this sense, firstly we define a set of operators on M, more general than those given by Z. Taká c, studying some of their properties. Secondly, we focus on some operators obtained through a very different way, proving that they are aggregation operators on L (set of normal and convex functions of M), and on M

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Susana Cubillo
AU  - Pablo Hernández
AU  - Carmen Torres-Blanc
PY  - 2015/06
DA  - 2015/06
TI  - Examples of Aggregation Operators on Membership Degrees of Type-2 Fuzzy Sets
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 719
EP  - 726
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.102
DO  - 10.2991/ifsa-eusflat-15.2015.102
ID  - Cubillo2015/06
ER  -