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.

Algorithm for reasoning with words based on linguistic fuzzy cognitive map

“…As mentioned in Section 3, there are two types of methods for reasoning with s 10,11 and s 15,18 . The dynamic reasoning algorithm with the has been introduced in Reference 18.…”

“…As mentioned in Section 3, there are two types of methods for reasoning with s 10,11 and s 15,18 . The dynamic reasoning algorithm with the has been introduced in Reference 18. To implement the algorithm for reasoning, we use two sub methods: and .…”

Toward Computing Linguistic Fuzzy Graphs And Applying to Illegal Immigration Problem

“…A linguistic truth value, say , is a fuzzy set. We study linguistic truth values on POSET L whose elements are comparable [15].…”

“…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).…”