Multi-Valued Cognitive Maps: Calculations with Linguistic Variables without Using Numbers

Autor: Dmitry Maximov
Rok vydání: 2021
Předmět:
DOI: 10.48550/arxiv.2108.04760
Popis: A concept of multi-valued cognitive maps is introduced in this paper. The concept expands the fuzzy one. However, all variables and weights are not linearly ordered in the concept, but are only partially-ordered. Such an ap- proach allows us to operate in cognitive maps with partially-ordered linguis- tic variables directly, without vague fuzzification/defuzzification methods. Hence, we may consider more subtle differences in degrees of experts' uncer- tainty, than in the fuzzy case. We prove the convergence of such cognitive maps and give a simple computational example which demonstrates using such a partially-ordered uncertainty degree scale.
Comment: The article have been submitted to Fuzzy Sets & Systems on 11 march 2021
Databáze: OpenAIRE