Fuzzy Structure of Complex Belief Systems: Fuzzy Relations and Fuzzy Belief Sets |
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| Authors: | Miguel Lloret-Climent Sergio Pérez-Gonzaga Josep-Lluis Usó-Doménech Josué-Antonio Nescolarde-Selva |
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| Affiliation: | 1. Department of Applied Mathematics, University of Alicante, Alicante, SpainMiguel.Lloret@ua.es;3. Department of Applied Mathematics, University of Alicante, Alicante, Spain |
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| Abstract: | In previous work, Nescolarde-Selva and Usó-Doménech (2014a Nescolarde-Selva, J. and J. L. Usó-Doménech. “Semiotic Vision of Ideologies.” Found Sci 19 (2014a): 263–282.[Crossref], [Web of Science ®] , [Google Scholar], b) discussed the theory that complex belief systems have a topological structure. In this article it is suggested that this structure is also fuzzy. We introduce the concepts of fuzzy sets in the context of beliefs (substantive and derived), and between derived beliefs themselves. Also introduced are the concepts of fuzzy covering and fuzzy invariance and the relationships between them. |
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| Keywords: | belief systems derived beliefs fuzzy coverage fuzzy invariability fuzzy relations ideology substantive beliefs |
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