Abstract
Fuzzy automata are regarded as an important device in fuzzy systems due to the advantage of powerful mathematical computation. This dynamic machine has been applied in various fields, such as pattern recognition, controller design, etc. However, most of the applications pertain to the engineering. Considering higher-order sets with imprecision, this paper makes use of Atanassov fuzzy sets and proposes the Atanassov fuzzy automata to solve problems in social science. The Atanassov fuzzy automata are powered by the implication and the composition to deal with Atanassov fuzzy relations. Derived from different t-norms and t-conorms, several types of implications and compositions are presented and compared. Based on the Atanassov fuzzy automata, an integrated model of advertising involvement is constructed as an illustration in order to manifest the feasibility and effectiveness of the proposed dynamic system. The presented device explores new directions for the permeation of Atanassov fuzzy automata to application areas in social science. Key words: Atanassov fuzzy set, Atanassov fuzzy automata, implication, composition, advertising involvement.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
