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Paper details
Number 3 - September 2021
Volume 31 - 2021
Uncertainty in the conjunctive approach to fuzzy inference
Przemysław Kudłacik
Abstract
Fuzzy inference using the conjunctive approach is very popular in many practical applications. It is intuitive for engineers,
simple to understand, and characterized by the lowest computational complexity. However, it leads to incorrect results
in the cases when the relationship between a fact and a premise is undefined. This article analyses the problem thoroughly
and provides several possible solutions. The drawbacks of uncertainty in the conjunctive approach are presented
using fuzzy inference based on a fuzzy truth value, first introduced by Baldwin (1979c). The theory of inference is completed
with a new truth function named 0-undefined for two-valued logic, which is further generalized into fuzzy logic as α-undefined. Eventually, the proposed modifications allow altering existing implementations of conjunctive fuzzy systems to interpret the undefined state, giving adequate results.
Keywords
fuzzy inference, conjunctive approach, fuzzy truth value