The task of automatically generating suitable membership functions from data is fundamental for the appropriate performance of fuzzy systems that use a fuzzy rule base. In this paper we provide an overview of some methods found in the literature, which are based on heuristics, hybrid methods, fuzzy clustering algorithms, neural networks, genetic algorithms, and the entropy and fuzzy Kappa index...

Intuitionistic fuzzy relations on finite universes can be represent by intuitionistic fuzzy matrices and the limiting behavior of the power matrices depends on the algebraic operation employed on the matrices. In this paper, the power of intuitionistic fuzzy matrices with maxarithmetic mean-minarithmetic mean operation have been studied. Here it is shown that the power of intuitionistic fuzzy m...

Alaca, C. , Turkoglu, D. and Yildiz, C. , Fixed points in intuitionistic fuzzy metric spaces,Chaos, Solitons and Fractals, 29(2006), 10731078. Atanassov, K. , Intuitionistic fuzzy sets, Fuzzy sets and systems 20(1986) 87-96. Dubois, D. and Prade, H. , Fuzzy Sets: Theory and Applications to Policy Analysis and Information Systems Plenum Press, New York, 1980. George, A. and Veeramani, P. , On so...

In this paper we introduce a new concept for lacunary strong P-convergent with respect to an Orlicz function and examine some properties of the resulting sequence space of fuzzy numbers. We also show that if a sequence is lacunary strong Pconvergence with respect to an Orlicz function then it is , ( ) r s S F θ -convergent.

Exact penalty methods for the solution of constrained optimization problems are based on the construction of a function whose unconstrained minimizing points are also solution of the constrained problem. In the rst part of this paper we recall some deenitions concerning exactness properties of penalty functions, of barrier functions, of augmented Lagrangian functions, and discuss under which as...

Watson’s lemma and Laplace’s method provide asymptotic expansions of Laplace integrals F(z)≔∫0∞e−zf(t)g(t)dt for large values the parameter z. They are useful tools in approximation special functions that have a integral representation. But most important examples functions, expansion derived by means or is not convergent. A modification was introduced [Nielsen, 1906] where, use inverse factori...