A Theory of Approximate Reasoning with Type-2 Fuzzy Set
2021 ◽
Vol 27
(1)
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pp. 9-28
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In this paper, an attempt is made to study approximate reasoning based on a Type-2 fuzzy set theory. In the process, we have examined the underlying fuzzy logic structure on which the reasoning is formulated. We have seen that the partial/incomplete/imprecise truth-values of elements of a type-2 fuzzy set under consideration forms a lattice. We propose two new lattice operations which ultimately help us to define a residual and thereby making the structure of truth- values a residuated lattice. We have focused upon two typical rules of inference used mostly in ordinary approximate reasoning methodology based on Type-1 fuzzy set theory. Our proposal is illustrated with typical artificial examples.
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2017 ◽
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2021 ◽
Vol 7 (73)
(1)
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pp. 77-85
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2020 ◽
Vol 2
(2)
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pp. 189
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1995 ◽
Vol 29
(1)
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pp. 61
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