The Experts below are selected from a list of 174 Experts worldwide ranked by ideXlab platform

Xiao-peng Yang - One of the best experts on this subject based on the ideXlab platform.

  • Solutions and strong Solutions of min-product fuzzy relation inequalities with application in supply chain
    Fuzzy Sets and Systems, 2020
    Co-Authors: Xiao-peng Yang
    Abstract:

    Abstract Min-product fuzzy relation inequalities are introduced to describe the price requirements in the supply chain system. We first investigate the reSolution method and structure of the Complete Solution Set to min-product fuzzy relation inequalities. Motivated by the practical application, we further define concept of strong Solution. A strong Solution represents a feasible pricing scheduling, enabling all the suppliers and retailers profitable in the trade activity. Relevant results about the strong Solution are obtained. Based on such results, a step-by-step algorithm is developed for finding all the strong Solutions to a system of min-product fuzzy relation inequalities. Numerical examples are given to illustrate the algorithm.

  • ReSolution of bipolar fuzzy relation equations with max-Łukasiewicz composition
    Fuzzy Sets and Systems, 2019
    Co-Authors: Xiao-peng Yang
    Abstract:

    Abstract The bipolar system of fuzzy relation equations with the max-Łukasiewicz composition is investigated in this work. A bipolar path approach is proposed for such a system. It is found that the Complete Solution Set of the bipolar system is fully determined by its conservative bipolar paths, which are finite. Our proposed reSolution approach is performed using the so-called path-based algorithm, step by step, and illustrated with numerical examples. Moreover, the global and local minimal (or maximal) Solutions are discussed in this paper with a comparison to those of a classical unipolar system.

  • ReSolution of Max-Product Fuzzy Relation Equation with Interval-Valued Parameter
    Complexity, 2019
    Co-Authors: Xiaobin Yang, Gang Xiao, Xiao-peng Yang
    Abstract:

    Considering the application background on P2P network system, we investigate the max-product fuzzy relation equation with interval-valued parameter in this paper. Order relation on the Set of all interval-valued numbers plays key role in the construction and reSolution of the interval-valued-parameter fuzzy relation equation (IPFRE). The basic operations supremum () and infimum () in the IPFRE should be defined depending on the order relation. A novel total order is introduced for establishing the IPFRE. We also discuss some properties of the IPFRE system, including the consistency and structure of the Complete Solution Set. Concepts of close index Set and open index Set are defined, helping us to construct the reSolution method of the IPFRE system. We further provide a detailed algorithm for obtaining the Complete Solution Set. Besides, the Solution Set is compared to that of the classical max- fuzzy relation equations system.

  • Min-Product Fuzzy Relation Inequalities with Application in Supply Chain
    2018 14th International Conference on Natural Computation Fuzzy Systems and Knowledge Discovery (ICNC-FSKD), 2018
    Co-Authors: Cai-fen Zheng, Xiao-peng Yang
    Abstract:

    Min-product fuzzy relation inequalities is introduced to characterise the pricing relation in a supply chain system. In such system, all the retailers are supplied with some kind of target commodities. Meanwhile, every supplers should be able to supply its local commodities to at least one retailer. For the min-product fuzzy relation system, we focus on the relevant properties which are helpful for the reSolution. Specific structure and characteristic of the Complete Solution Set are also investigated. Numerical examples are presented to illustrate the system consistency.

  • ICNC-FSKD - Min-Product Fuzzy Relation Inequalities with Application in Supply Chain
    2018 14th International Conference on Natural Computation Fuzzy Systems and Knowledge Discovery (ICNC-FSKD), 2018
    Co-Authors: Cai-fen Zheng, Xiao-peng Yang
    Abstract:

    Min-product fuzzy relation inequalities is introduced to characterise the pricing relation in a supply chain system. In such system, all the retailers are supplied with some kind of target commodities. Meanwhile, every supplers should be able to supply its local commodities to at least one retailer. For the min-product fuzzy relation system, we focus on the relevant properties which are helpful for the reSolution. Specific structure and characteristic of the Complete Solution Set are also investigated. Numerical examples are presented to illustrate the system consistency.

Andrew Rakich - One of the best experts on this subject based on the ideXlab platform.

  • Four-mirror anastigmats, part 2: systems with useful first-order layouts and minimum complexity
    Optical Engineering, 2008
    Co-Authors: Andrew Rakich
    Abstract:

    Previously, the author described a closed-form analytical approach to obtaining the Complete Solution Set for four-mirror anastigmats in which all the mirrors were spherical. Two novel types of four-spherical-mirror anastigmats with concave primary were reported. This approach has been modified by Setting up baseline systems with good first-order characteristics and adding the minimum number of aspheric lenses necessary to provide anastigmatic correction. In this way, searches for useful four-mirror anastigmats with one, two, or three mirrors kept strictly spherical have been carried out. By using this technique, a system with only one conicoid mirror can be found that has very similar first-order properties and equivalent correction to a system with three conicoids.

  • four mirror anastigmats part 1 a Complete Solution Set for all spherical telescopic systems
    Optical Engineering, 2007
    Co-Authors: Andrew Rakich
    Abstract:

    The concept of the simplest possible reflecting anastigmat is discussed, and anastigmats consisting of four spherical mirrors are introduced in this context as being the last remaining family for which the Solution Set has not been thoroughly explored. Burch's "plate diagram" method is introduced and used to derive a closed-form analytical Solution for four-spherical-mirror anastigmatic telescope systems. This Solution is then applied to mapping the Solution space for four-spherical-mirror anastigmats. Two novel systems are revealed that represent the first published instances of axially symmetrical, all-spherical anastigmatic reflecting telescope designs with concave primary mirrors. Due to the Completeness of the analytic description of the Solution Set, it also can be stated that there are no other design variants for this class of system.

  • Four-mirror anastigmats with useful first-order layouts and minimum complexity
    Novel Optical Systems Design and Optimization VII, 2004
    Co-Authors: Andrew Rakich
    Abstract:

    Recently the author described a method that gave the Complete Solution Set for four-mirror anastigmats in which all the mirrors were spherical. Even though a large variety of such systems were shown to exist, most of these were not practical due to large central obstructions. The author has now modified his previous approach by Setting up "partial" systems with good first order characteristics and adding the minimum number of aspheres necessary to give anastigmatic correction. In this way, surveys of useful four-mirror anastigmats with one, two or three-mirrors kept strictly spherical can be carried out.

  • Complete Solution Set for four spherical mirror anastigmatic telescope systems
    Optical Design and Engineering, 2004
    Co-Authors: Andrew Rakich, Norman J Rumsey
    Abstract:

    The concept of the simplest possible reflecting anastigmat is discussed and anastigmats consisting of four spherical mirrors are introduced in this context as being the last remaining family for which the Solution Set has not been thoroughly mapped. A method for mapping the Solution space for four-spherical-mirror anastigmats is described and results are presented. Analysis of the large number of Solutions obtained in this way is in its initial stages, and some of the early results are presented here.

  • Four families of flat-field three-mirror anastigmatic telescopes with only one mirror aspherized
    Novel Optical Systems Design and Optimization V, 2002
    Co-Authors: Andrew Rakich
    Abstract:

    In a recent paper the author described a method of acquiring the Complete Solution Set of three-mirror anastigmatic telescopes with concave primary mirrors in which only one mirror is allowed to depart from being strictly spherical. There the Solution Sets were defined over a plane in constructional parameter space and four loci of points were identified representing Solutions in which the Petzval curvature for the system was also zero. In the work presented below curves are fitted to these points. These curves represent the full range of possible flat-field three-mirror anastigmats with two spherical mirrors. Examples are given from each of the four families and algorithms are given in spreadsheet format which, for each of the four curves, will deliver a Complete Set of constructional parameters for a flat-field three-mirror anastigmat with two spherical mirrors for a given single input parameter.

Norman J Rumsey - One of the best experts on this subject based on the ideXlab platform.

  • Complete Solution Set for four spherical mirror anastigmatic telescope systems
    Optical Design and Engineering, 2004
    Co-Authors: Andrew Rakich, Norman J Rumsey
    Abstract:

    The concept of the simplest possible reflecting anastigmat is discussed and anastigmats consisting of four spherical mirrors are introduced in this context as being the last remaining family for which the Solution Set has not been thoroughly mapped. A method for mapping the Solution space for four-spherical-mirror anastigmats is described and results are presented. Analysis of the large number of Solutions obtained in this way is in its initial stages, and some of the early results are presented here.

  • method for deriving the Complete Solution Set for three mirror anastigmatic telescopes with two spherical mirrors
    Journal of The Optical Society of America A-optics Image Science and Vision, 2002
    Co-Authors: Andrew Rakich, Norman J Rumsey
    Abstract:

    The “plate-diagram” method of quantifying and manipulating the Seidel aberrations of an optical system has been used to develop a procedure that has successfully determined the Complete Solution Set of three-mirror anastigmats in which two surfaces are left strictly spherical. The procedure also readily identified Solutions in which the Petzval sum is zero, and four distinct families of flat-field three-mirror anastigmats with two mirrors strictly spherical have thus been found. The success of the method is strong support for the argument that algebraic approaches to optical design can yield results distinctly superior to currently favored optimization-based design methods, at least for some types of optical systems.

Pinto A Da Costa - One of the best experts on this subject based on the ideXlab platform.

  • assessing the Complete Solution Set of the planar frictional wedging problem
    Computer Methods in Applied Mechanics and Engineering, 2012
    Co-Authors: Pinto A Da Costa
    Abstract:

    Abstract This paper examines the computation of all the (infinitely many) Solutions of the frictional wedging problem in the non-coercive context by an algorithm applied to its complementarity formulation. Our analysis offers insights regarding the mechanical and the geometrical meaning of the Solution Set. We find that the Solution structure depends much on the value of the coefficient of friction. The evidence indicates that non-coercivity implies much longer computation times. Coefficients of friction at the onSet of wedging are computed and related.

Xue-gang Zhou - One of the best experts on this subject based on the ideXlab platform.

  • Lexicographic Maximum Solution of Min-Product Fuzzy Relation Inequalities for Modeling the Optimal Pricing With Fixed Priority Grade in Supply Chain
    IEEE Access, 2018
    Co-Authors: Xue-gang Zhou, Xingyi Zhong, Xiao-peng Yang
    Abstract:

    Fuzzy relation inequalities composed by the min-product operation are established to model the pricing relation in a supply chain system. Basic properties of the min-product fuzzy relation inequalities are presented first, based on which the Complete Solution Set could be characterized and obtained. In fact, each Solution of the corresponding fuzzy relation inequalities is exactly a feasible price scheduling. Considering the fixed priority grade of the suppliers, the concept of lexicographic maximum Solution is introduced and investigated, as an optimal price scheduling that maximizes the benefits. A detailed algorithm is developed to search the unique lexicographic maximum Solution with a numerical illustrative example.

  • Properties of Fuzzy Relation Inequalities with Addition-Min Composition
    Advances in Intelligent Systems and Computing, 2017
    Co-Authors: Xiao-peng Yang, Xue-gang Zhou
    Abstract:

    Fuzzy relation inequalities with addition-min composition could be used to describe the Peer-to-Peer (P2P) file sharing system. In this paper we study some properties of a system of addition-min fuzzy relation inequalities. The Complete Solution Set of such system is verified to be convex. Besides, it is found that the Complete Solution Set is fully determined by a unique maximum Solution and a number of minimal ones.