A Novel Fuzzy Modifier Interpolation Rule for Computing With Words

Abstract

Computing with words is a concept that is used to solve problems with input in natural language. Modifiers are transformation functions with predefined labels used extensively in decision-making to specify the desired value of a linguistic variable defined by fuzzy sets. In past years, few efforts have been made to study the application of Computing with Words (CW) in many domains ranging from fraud detection systems to diagnosis systems in medicine. However, the application of CW in these fields with modified Fuzzy sets did not give satisfactory results. When applied to modified Fuzzy sets, the existing interpolation rule does not cover the extreme left and extreme right-shifted fuzzy sets. Hence, there is a need to introduce a new interpolation rule when working with modifiers. This paper introduces a new Fuzzy Modifier Interpolation Rule to Type-1 Fuzzy sets and Interval Type-2 (IT-2) Fuzzy Sets to enhance the quality of results obtained when modifiers are applied.Povzetek: V prispevku je predstavljeno novo interpolacijsko pravilo za mehke modifikatorje v mehkih nizih tipa 1 in intervalnega tipa 2.