Towards Interval Type-3 Intuitionistic Fuzzy Sets and Systems

Oscar Castillo and Patricia Melin ()
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Oscar Castillo: Tijuana Institute of Technology, TecNM, Tijuana 22414, Mexico
Patricia Melin: Tijuana Institute of Technology, TecNM, Tijuana 22414, Mexico

Mathematics, 2022, vol. 10, issue 21, 1-13

Abstract: In this work, several types of intuitionistic fuzzy sets, inspired by Type-2 and Type-3 concepts, are introduced. In particular, the newly proposed interval Type-3 intuitionistic sets are very interesting as they extend the opportunities of both interval Type-3 fuzzy sets and intuitionistic sets when capturing specific forms of uncertainty. A comparative study of interval Type-3 with respect to intuitionistic fuzzy is presented. Based on this comparison, a novel concept of an interval Type-3 intuitionistic fuzzy set is put forward to enhance the capabilities of modeling uncertainty with respect to the individual Type-3 and intuitionistic concepts. Basically, the secondary and tertiary membership functions are added to the intuitionistic fuzzy sets to build an interval Type-3 intuitionistic fuzzy set. An illustrative example dealing with controlling the imaging system of televisions is provided to envision the potential applicability and advantages of interval Type-3 intuitionistic fuzzy sets in real problems. For this application, the intuitionistic Type-3 approach shows the potential to outperform previous approaches in controlling this system.

Keywords: Type-3 fuzzy logic; intuitionistic fuzzy; Type-2 fuzzy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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