Laser simulator logic: A novel inference system for highly overlapping of linguistic variable in membership functions

• Published in: Journal of King Saud University. Computer and information sciences 2022-11, Vol.34 (10), p.8019-8040
• Main Authors: Ali, Mohammed A.H., Mekhilef, Saad, Yusoff, Nukman, Razak, Bushroa Abd
• Format: Article
• Language: English
• Subjects: Degree of overlapping; Laser simulator logic; Membership function; Type-1 Fuzzy logic; Type-2Fuzzy logic
• ISSN: 1319-1578; 2213-1248
• DOI: 10.1016/j.jksuci.2022.07.017

A new approach for Fuzzification and Defuzzification processes of a high degree of overlapping between the linguistic variables through proportional and relative-dynamic-scale membership functions is presented in this paper. Most of related works that utilized type-1 and 2 fuzzy logic algorithms are confused and questionable from two points of view: (1) the overlapping between linguistic variables values starts almost from the midst of each other; so, what will be happened if it starts before the midst i.e., increasing the degree of overlapping, - (2) the linguistic variables are commonly represented by symmetrical membership functions form. It has been found that the current type 1 and 2 fuzzy logic are no longer suitable to deal with highly inference between linguistic variables. Thus, a novel algorithm, called laser simulator logic, is introduced in this paper to deal with the issue of highly inference of linguistic variables membership functions, which depends mainly on a proportional and relative-dynamic scale of membership function that will change the scale of membership continuously based on the crisp input/output. Results show that the laser simulator performs better than both type-1 and 2 fuzzy logic when there is a high degree of overlapping between the linguistic variables.