We present some inequalities of Ostrowski and trapezoid type with complex exponential weight, for complex-valued absolutely continuous functions. These inequalities are related to Pompeiu’s mean value theorem. Special cases of these inequalities are applied to obtain (i) some approximation results for the finite Fourier and Laplace transforms; (ii) refinements of the Ostrowski and trapezoid ine...

We study the multi-attribute group decision making (MAGDM) problems in which the attribute values provided by the decision makers take the form of intuitionistic trapezoid fuzzy linguistic (ITrFL) information considering the uncertainty and inaccuracy of input arguments. Some new aggregation operators called intuitionistic trapezoid fuzzy linguistic weighted average (ITrFLWA), intuitionistic tr...

In this paper we present a new class of operators based on Trapezoid Fuzzy numbers such as Trapezoid Fuzzy Prioritized Weighted Mean (TFPWM) operator, Trapezoid Fuzzy Prioritized Weighted Geometric Average (TFPWG), Trapezoid Fuzzy Prioritized Weighted Harmonic Average(TFPWH) operators to solve multiple attribute group decision making (MAGDM) problems. Unlike other (MAGDM) techniques here the at...

The aim of this paper is to generalize inequality 0096-3 doi:10 * Co E-m f ðxÞ 1 b a Z b a f ðs1Þds1 f ðbÞ f ðaÞ b a x aþ b 2 f 0ðbÞ f 0ðaÞ 2ðb aÞ x 2 ðaþ bÞxþ a 2 þ b þ 4ab 6 6 kf k1 ðb aÞ 3 6 I x a b a obtained in [A. Aglić Aljinović, M. Matić, J. Pečarić, Improvements of some Ostrowski type inequalities, J. Comput. Anal. Appl., in press], and therefore obtain a generalization and improvement...

The intersection graph of a collection of trapezoids with corner points lying on two parallel lines is called a trapezoid graph. These graphs and their generalizations were applied in various fields, including modeling channel routing problems in VLSI design and identifying the optimal chain of non-overlapping fragments in bioinformatics. Using modified binary indexed tree data structure, we de...

A new method is proposed to solve the multiple attribute decision making (MADM) problems with the trapezoid fuzzy linguistic variables ( Vs TFL ) based on the trapezoid fuzzy linguistic hybrid harmonic averaging (TFLHHA ) operator. To begin with, this paper reviews the concept and operational rules of the Vs TFL , the calculation method of the possibility degree with Vs TFL , and the comparison...

The authors report two cases of isolated, undisplaced, fractures of the trapezoid bone. Because of its well-protected position in the wrist, traumatic lesions of the trapezoid bone are rare. Dislocation of the trapezoid has been reported in 30 patients; fractures are seen even less frequently and usually go with dorsal displacement. To our knowledge and based on a Medline literature review, onl...

Trapezoid graphs are the intersection graphs of trapezoids,where every trapezoid has a pair of opposite sides lying on two parallel lines L1 and L2 of the plane. This subclass of perfect graphs has received considerable attention as it generalizes in a natural way both interval and permutation graphs. In particular, trapezoid graphs have been introduced in order to generalize some well known ap...

Trapezoid fractures are relatively rare upper limb fractures. The case report of a trapezoid stress fracture in the dominant hand of a 22 year old international standard shot-putter is presented.