2020
DOI: 10.1002/cpe.5711
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Reasoning with words: A hedge algebra linguistic cognitive map approach

Abstract: In this article, we introduce a method for reasoning with words based on hedge algebra using linguistic cognitive map. Our model consists of set of vertices and edges with value to be linguistic variables which are constrained by linguistic lattice. We figure out relationship between numeric and linguistic domain for fuzzifying data. We also prove convergence theorem on learning method for linguistic cognitive map.

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Cited by 7 publications
(4 citation statements)
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“…As mentioned in Section 3, there are two types of methods for reasoning with 𝔽𝕄s 10,11 and 𝕃𝕄s 15,18 . The dynamic reasoning algorithm with the 𝕃𝕄 has been introduced in Reference 18.…”
Section: Building the 𝕃ℂ𝕄 Algorithmmentioning
confidence: 99%
See 1 more Smart Citation
“…As mentioned in Section 3, there are two types of methods for reasoning with 𝔽𝕄s 10,11 and 𝕃𝕄s 15,18 . The dynamic reasoning algorithm with the 𝕃𝕄 has been introduced in Reference 18.…”
Section: Building the 𝕃ℂ𝕄 Algorithmmentioning
confidence: 99%
“…As mentioned in Section 3, there are two types of methods for reasoning with 𝔽𝕄s 10,11 and 𝕃𝕄s 15,18 . The dynamic reasoning algorithm with the 𝕃𝕄 has been introduced in Reference 18. To implement the 𝕊𝕋𝔸𝕋𝕀𝔼𝔸𝕊𝕆𝕀𝔾 algorithm for reasoning, we use two sub methods: Initialize−Fuzzy−Source and Fuzzy−Relax.…”
Section: Building the 𝕃ℂ𝕄 Algorithmmentioning
confidence: 99%
“…A linguistic truth value, say , is a fuzzy set. We study linguistic truth values on POSET L whose elements are comparable [15].…”
Section: Hedge Algebramentioning
confidence: 99%
“…1 with linguistic variable in L, use a HA as: HA = {X, H, {c + , c − }, {0, W , 1}, ≤ }, in which X="size of flow", c + = high, c − = low, W ="med", H="very", vl = "very low". Using domain converting method in [13][14][15], the LG is constructed as in Fig. 2 (some edges don't draw to keep clearing figure).…”
Section: Modeling With Words For Illegal Immigration Problemmentioning
confidence: 99%