Title :
Approximate nature of traditional fuzzy methodology naturally leads to complex-valued fuzzy degrees
Author :
Kosheleva, Olga ; Kreinovich, Vladik
Author_Institution :
Univ. of Texas at El Paso, El Paso, TX, USA
Abstract :
In the traditional fuzzy logic, the experts´ degrees of confidence in their statements is described by numbers from the interval [0,1]. These degree have a clear intuitive meaning. Somewhat surprisingly, in some applications, it turns out to be useful to also consider different numerical degrees - e.g., complex-valued degrees. While these complex-valued degrees are helpful in solving practical problems, their intuitive meaning is not clear. In this paper, we provide a possible explanation for the success of complex-valued degrees which makes their use more intuitively understandable - namely, we show that these degrees naturally appear due to the approximate nature of the traditional fuzzy methodology.
Keywords :
fuzzy set theory; complex-valued fuzzy degrees; confidence degree; fuzzy logic; fuzzy methodology; numerical degrees; Computers; Equations; Fuzzy logic; Fuzzy sets; Least squares approximations; Tin;
Conference_Titel :
Fuzzy Systems (FUZZ-IEEE), 2014 IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4799-2073-0
DOI :
10.1109/FUZZ-IEEE.2014.6891549