By Jerry M. Mendel (auth.), Alireza Sadeghian, Jerry M. Mendel, Hooman Tahayori (eds.)

This publication explores fresh advancements within the theoretical foundations and novel purposes of common and period type-2 fuzzy units and structures, together with: algebraic houses of type-2 fuzzy units, geometric-based definition of type-2 fuzzy set operators, generalizations of the continual KM set of rules, adaptiveness and novelty of period type-2 fuzzy common sense controllers, family members among conceptual areas and type-2 fuzzy units, type-2 fuzzy common sense platforms as opposed to perceptual desktops; modeling human belief of genuine international recommendations with type-2 fuzzy units, assorted equipment for producing club features of period and basic type-2 fuzzy units, and functions of period type-2 fuzzy units to regulate, computer tooling, snapshot processing and vitamin. The purposes show the appropriateness of utilizing type-2 fuzzy units and structures in actual global difficulties which are characterised through assorted levels of uncertainty.

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Sci. 177(1), 84–110 (2007) 15. : Type-2 fuzzy sets and systems: an overview. IEEE Comput. Intell. Mag. 2(1), 20–29 (2007) A Survey of Continuous Karnik-Mendel Algorithms and Their Generalizations 31 16. ’. Inf. Sci. 179(19), 3418–3431 (2009) 17. : On centroid calculations for type-2 fuzzy sets. Appl. Comput. Math. 10(1), 88–96 (2011) 18. : Standard background material about interval type-2 fuzzy logic systems that can be used by all authors (2006). pdf 19. : Type-2 fuzzy sets made simple. IEEE Trans.

Mag. 2(1), 30–43 (2007) 6. : Interval type-2 fuzzy logic congestion control for video streaming across IP networks. IEEE Trans. Fuzzy Syst. 17(5), 1123–1142 (2009) 7. : Centroid of a type-2 fuzzy set. Inf. Sci. 132, 195–220 (2001) 8. : Type-2 fuzzy logic systems. IEEE Trans. Fuzzy Syst. 7, 643–658 (1999) 9. : Fuzzy systems as universal approximators. IEEE Trans. Comput. 43(11), 1329–1333 (1994) 10. : Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Prentice-Hall, Upper Saddle River (2001) 11.

Note that x1 6 x2 6 Á Á Á 6 xN wi are given in Table 6 i¼minðk;k0 Þ A Survey of Continuous Karnik-Mendel Algorithms and Their Generalizations 29 Table 6 Weight assignment methods of WEKM (EKM) algorithms, Algorithms Integration rule Weight value EKM TWEKM Riemann sum Trapezoidal rule SWEKM Simpson’s rule S3/8WEKM Simpson’s 3=8 rule a wi ¼ 1ði ¼ 1; 2; ; NÞ & 1=2 if i ¼ 1; N; wi ¼ 1 if i 6¼ 1; N: 8 if i ¼ 1; N < 1=2 1 if i ¼ 1 moda ð2Þ and i 6¼ 1; N; wi ¼ : 2 if i ¼ 0 modð2Þand i 6¼ N: 8 1=3 if i ¼ 1; N > > < 2=3 if i ¼ 1 modð3Þand i 6¼ 1; N; wi ¼ 1 if i ¼ 2 modð3Þand i 6¼ N; > > : 1 if i ¼ 0 modð3Þ and i 6¼ N: mod is modular arithmetic operator.