Abstract
From the two-valued logic to fuzzy logic, proposition logic obtains a rapid development. This paper aims to construct a new kind os proposition logic form with the value of connection number. With the basic method of fuzzy logic, the value of proposition in the form of rough connection degree is obtained, and the three logical operators, disjunction, conjunction and negation are constructed. The three logical operators meet the seven rules of Involution, Idempotent, Exchange, Combination, Distribution, Absorption, and Morgan. It is proved that the algebra constructed by the three operators is soft algebra.
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Yang, Y., Xu, J., Liu, B. (2010). The Research of Logical Operators Based on Rough Connection Degree. In: Zhu, R., Zhang, Y., Liu, B., Liu, C. (eds) Information Computing and Applications. ICICA 2010. Communications in Computer and Information Science, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16336-4_67
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DOI: https://doi.org/10.1007/978-3-642-16336-4_67
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16335-7
Online ISBN: 978-3-642-16336-4
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