In this paper, we consider fuzzy inventory with backorder. First, we fuzzify the storing cost a, backorder cost b, cost of placing an order c, total demand r, order quantity q, and shortage quantity s as the triangular fuzzy numbers in the total cost. From these, we can obtain the fuzzy total cost. Using the signed distance method to defuzzify, we get the estimate of the total cost in the fuzzy...

in this paper, the concept of fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) of an ordered group (resp. lattice-ordered group) is introduced and some properties, characterizations and related results are given. also, the fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) generated by a fuzzy subgroup (resp. fuzzy subsemigroup) is characterized. furthermore,...

‎Let $X$ be a real normed  space, then  $C(subseteq X)$  is  functionally  convex  (briefly, $F$-convex), if  $T(C)subseteq Bbb R $ is  convex for all bounded linear transformations $Tin B(X,R)$; and $K(subseteq X)$  is  functionally   closed (briefly, $F$-closed), if  $T(K)subseteq Bbb R $ is  closed  for all bounded linear transformations $Tin B(X,R)$. We improve the    Krein-Milman theorem  ...

We study the convexity property of the set QF of arbitrage-free prices of a multiperiod financial structure F . The set of arbitrage-free prices is shown to be a convex cone under conditions on the financial stucture F that hold in particular for short lived assets. Furthermore, we provide examples of equivalent financial structures F and F ′ such that QF is a convex cone, but QF ′ is neither c...

Hierarchical graphs are graphs with layering structures; clustered graphs are graphs with recursive clustering structures. Both have applications in VLSI design, CASE tools, software visualisation and visualisation of social networks and biological networks. Straight-line drawing algorithms for hierarchical graphs and clustered graphs have been presented in [P. Eades, Q. Feng, X. Lin and H. Nag...

A convex non-convex variational model is proposed for multiphase image segmen-tation. We consider a specially designed non-convex regularization term which adapts spatially tothe image structures for better controlling of the segmentation and easy handling of the intensityinhomogeneities. The nonlinear optimization problem is efficiently solved by an Alternating Direc-tions Meth...

Using fuzzy logic technique images. The suggested method is introduced for the using a combination of fuzzy algorithm. The fuzzification of underexposed region has been carried o membership function and for fuzzifying function is found suitable. been defined for both underexposed and overexposed saturation and intensity (HSV) color space is used for the trans from RGB to HSV space without chang...

In this paper we find a characterization type result for (η1,η2)-convex functions. The Fejér integral inequality related to (η1,η2)-convex functions is obtained as a generalization of Fejér inequality related to the preinvex and η-convex functions. Also some Fejér trapezoid and midpoint type inequalities are given in the case that the absolute value of the derivative of considered function is (...

conclusions excellent esthetic and functional results achieved; total treatment duration was about 72 months. case presentation this is a case report about the successful orthodontic treatment of a patient with mild hemifacial microsomia (hfm), using a non-surgical orthopedic and orthodontic treatment approach. the aim of this approach was to make the best noninvasive modality to treat hfm. a 7...