Abstract The purpose of this paper is to extend the TOPSIS (Technique for Order Performance by Similarity to Ideal Solution) method for solving multiple attribute decision making (MADM) problems with trapezoid fuzzy linguistic variables. To begin with, this paper introduces the concept of the trapezoid fuzzy linguistic variables, and defines the distance between two trapezoid fuzzy linguistic v...

An algorithm that decomposes a line image into singular and regular regions is presented. We define a contour trapezoid as the building block of regular regions, and postulate a Maximal Trapezoid Set as the core of regular regions. Then, we describe an algorithm that calculates a Maximal Trapezoid Set of a polygon and show how to use it to find a skeleton of a polygonal approximation of a conto...

We give a first polynomial-time algorithm for (Weighted) Feedback Vertex Set on graphs of bounded maximum induced matching width (mim-width). Explicitly, given a branch decomposition of mim-width w, we give an nO(w)-time algorithm that solves Feedback Vertex Set. This provides a unified algorithm for many well-known classes, such as Interval graphs and Permutation graphs, and furthermore, it gi...

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A 58-year-old female developed avascular necrosis of her trapezoid approximately 3 months after undergoing carpometacarpal arthroplasty. The patient was treated conservatively with immobilization and had complete resolution of her clinical symptoms during her year of follow-up. Additionally, radiographic examination showed complete restoration of the height of her trapezoid approximately 1 year...

Trapezoid maps are a kind of continuous and piecewise linear maps with a flat top. By the conjugacy relationship, we present a complete classification for four families of trapezoid maps. Firstly, using an extension method, we construct all homeomorphic solutions of conjugacy equation φ ◦ f = g ◦ φ for some non-monotone continuous maps f and g. Secondly, using an iterative construction method a...

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Remotely sensed land surface temperature and fractional vegetation coverage (LST/FVC) space has been widely used in modeling and partitioning land surface evaporative fraction (EF) which is important in managing water resources. However, most of such models are based on conventional trapezoid and simply determine the wet edge as air temperature (Ta) or the lowest LST value in an image. We devel...