in this paper, we define the notions of fuzzy congruence relations and fuzzy convex subalgebras on a commutative residuated lattice and we obtain some related results. in particular, we will show that there exists a one to one correspondence between the set of all fuzzy congruence relations and the set of all fuzzy convex subalgebras on a commutative residuated lattice. then we study fuzzy...

Hermite-Hadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, Hermite-Hadamard inequalities for $mathbb{B}$-convex and $mathbb{B}^{-1}$-convex functions are proven.

in this paper we introduce a sequential block iterative method and its simultaneous version with op-timal combination of weights (instead of convex combination) for solving convex feasibility problems.when the intersection of the given family of convex sets is nonempty, it is shown that any sequencegenerated by the given algorithms converges to a feasible point. additionally for linear feasibil...

Quasi-Bayesian theory uses convex sets of probability distributions and expected loss to represent preferences about plans. The the­ ory focuses on decision robustness, i .e., the extent to which plans are affected by devi­ ations in subjective assessments of probabil­ ity. Generating a plan means enumerating the actions to be taken and providing infor­ mation about the robustness of the action...

Radial Basis Funct ion ( R B F ) network i s a n e f i c i e n t func t ion approximator. Theoretical researches focus o n the capabilities of the network t o reach a n optimal solution. Unfortunately, f e w results concerning the design and training of the network are available. W h e n dealing with a specific application, the performances of the network dramatically depend o n the number of n...

omotopy analysis method (HAM) is a promising method for handling func-tional equations. Recent publications proved the eectiveness of HAM in solvingwide variety of problems in dierent elds. HAM has a unique property whichmakes it superior to other analytic methods, this property is its ability to con-trol the convergence region of the solution series. In this work, we claried theadvantages and ...

We interpret a type of fuzzy controller as an inter polator of B spline hypersurfaces B spline basis func tions of di erent orders are regarded as a class of mem bership functions MFs with some special properties These properties lead to several interesting conclusions about fuzzy controllers if such membership functions are employed to specify the linguistic terms of the input variables We sho...