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Sensors ◽  
2021 ◽  
Vol 21 (22) ◽  
pp. 7729
Author(s):  
Tho Dang ◽  
Lionel Lapierre ◽  
Rene Zapata ◽  
Benoit Ropars ◽  
Pascal Lepinay

In general, for the configuration designs of underwater robots, the positions and directions of actuators (i.e., thrusters) are given and installed in conventional ways (known points, vertically, horizontally). This yields limitations for the capability of robots and does not optimize the robot’s resources such as energy, reactivity, and versatility, especially when the robots operate in confined environments. In order to optimize the configuration designs in the underwater robot field focusing on over-actuated systems, in the paper, performance indices (manipulability, energetic, reactive, and robustness indices) are introduced. The multi-objective optimization problem was formulated and analyzed. To deal with different objectives with different units, the goal-attainment method, which can avoid the difficulty of choosing a weighting vector to obtain a good balance among these objectives, was selected to solve the problem. A solution design procedure is proposed and discussed. The efficiency of the proposed method was proven by simulations and experimental results.


Mathematics ◽  
2021 ◽  
Vol 9 (17) ◽  
pp. 2136
Author(s):  
Fabio Blanco-Mesa ◽  
Ernesto León-Castro ◽  
Jorge Romero-Muñoz

This paper presents the Pythagorean membership grade induced ordered weighted moving average (PMGIOWMA) operator with some particular cases and theorems. The main advantage of this new operator is that can include the knowledge, expectation, and aptitude of the decision maker into the Pythagorean membership function by using a weighting vector and induced variables. An application in financial knowledge based on a survey conducted in 13 provinces in Boyacá, Colombia, is presented.


2021 ◽  
Vol 13 (12) ◽  
pp. 2346
Author(s):  
Zhuang Xie ◽  
Jiahua Zhu ◽  
Chongyi Fan ◽  
Xiaotao Huang ◽  
Jian Wang

When the deceptive targets are in the ambiguious range bin but are received at the same range gate with the desired target by the array, the traditional multiple-input multiple-output (MIMO) radar is not able to discriminate between them. Based on the unique range-dependent beampattern of the frequency diverse array (FDA)-MIMO radar, we propose a novel robust mainlobe deceptive target suppression method based on covariance matrix reconstruction to form nulls at the frequency points of the transmit–receive domain where deceptive targets are located. First, the proposed method collects the deceptive targets and noise information in the transmit–receive frequency domain to reconstruct the jammer-noise covariance matrix (JNCM). Then, the covariance matrix of the desired target is constructed in the desired target region, which is assumed to already be known. The transmit–receive steering vector (SV) of the desired target is estimated to be the dominant eigenvector of the desired target covariance matrix. Finally, the weighting vector of the receive beamformer is calculated by combining the reconstructed JNCM and the estimated desired target SV. By implementing the weighting vector at the receiving end, the deceptive targets can be effectively suppressed. The simulation results demonstrate that the proposed method is robust to SV mismatches and provides a signal-to-jamming-plus-noise ratio (SJNR) output that is close to the optimal.


2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Shuen Guo ◽  
Zhichao Geng ◽  
Jinjiang Yuan

<p style='text-indent:20px;'>In this paper, we study the single-machine Pareto-scheduling of jobs with multiple weighting vectors for minimizing the total weighted late works. Each weighting vector has its corresponding weighted late work. The goal of the problem is to find the Pareto-frontier for the weighted late works of the multiple weighting vectors. When the number of weighting vectors is arbitrary, it is implied in the literature that the problem is unary NP-hard. Then we concentrate on our research under the assumption that the number of weighting vectors is a constant. For this problem, we present a dynamic programming algorithm running in pseudo-polynomial time and a fully polynomial-time approximation scheme (FPTAS).</p>


2020 ◽  
Vol 7 (3) ◽  
pp. 256
Author(s):  
Linda Sari Dewi

<p><em>Instant baby porridge is one of the preferred foods for babies that are used at the age of six months and above and baby porridge or also known as solid food is a very decisive step to meet a baby's nutritional needs, the problem of fulfilling nutrition for all age groups is still not resolved at this time . The cause of malnutrition can be seen from one of the factors that are difficult to eat, the problem of difficulty eating can be seen in toddlers and this problem if not resolved quickly can affect the growth and development of toddlers due to nutritional deficiencies. Parents' desire to meet their children's nutritional needs is often in inappropriate ways, such as by promising a reward in the form of their favorite meal if the child shows good behavior, so that the child does not consume healthy food and ultimately results in bad food behavior for the child. To solve the above problems, a decision support system method is applied, namely the weighted product (WP) with the aim that parents can easily and quickly choose baby porridge food, so that there are no mistakes in meeting the nutritional needs of their children. The results obtained in the calculation of the Weighted Product Method which consists of several calculation stages, starting from determining alternatives and criteria, baby porridge selection criteria, weight importance level, criteria weighting, vector calculation to ranking are products for selecting baby porridge, there are 2 best alternatives, namely A11 with a value of 0.09390 and A12 with a value of 0.09390.</em></p><p><em><strong>Keywords</strong></em><em>: </em><em>weight product, instant baby porridge</em><em><strong> </strong></em></p><p><em>Bubur bayi instan salah satu makanan pilihan bayi yang digunakanan pada usia enam bulan keatas dan b<a href="https://www.alodokter.com/mengenalkan-makanan-bayi-sesuai-tingkatan-usia" target="_blank">ubur bayi</a></em><em> atau juga disebut dengan makanan padat merupakan langkah yang sangat menentukan untuk memenuhi suatu kebutuhan gizi bayi, permasalahan pemenuhan gizi dari seluruh kelompok umur masih belum bisa diselesaikan pada saat ini. Menyebabkan gizi yang kurang dapat dilihat dari salah satu faktor sulit makan, masalah sulit makan dapat dilihat pada balita dan masalah tersebut jika tidak diselesaikan dengan cepat dapat mempengaruhi pertumbuhan dan perkembangan balita dikarenakan kekurangan nutrisi. Keinginan para orang tua untuk memenuhi kebutuhan nutrisi anaknnya sering kali dalam pemberian makanan dengan cara yang kurang tepat seperti dengan menjanjikan hadiah  berupa makan kesukaannya jika anak menunjukkan perilaku yang baik, sehingga anak tidak mengkonsumsi makanan sehat dan akhirnya mengakibatkan perilaku makanan yang tidak baik bagi anak. Untuk menyelesaikan permasalahan diatas, maka diterapkan metode sistem penunjang keputusan yaitu weighted product (WP) dengan tujuan agar para orang tua dengan mudah dan cepat dalam memilih makanan bubur bayi, sehingga tidak tejadi kesalahan dalam memenuhi kebutuhan gizi anaknya. Adapun hasil yang diperoleh dalam </em><em>perhitungan Metode Weighted Product yang terdiri dari beberapa tahap perhitungan, mulai dari penentuan alternatif dan kriteria, kriteria seleksi bubur bayi, kingkat kepentingan bobot, pembobotan kriteria, perhitungan vektor hingga perangkingan </em><em>adalah </em><em>produk untuk penyeleksian bubur bayi didapatkan 2 alternatif  terbaik  yaitu A11 dengan nilai 0,09390 dan A12 dengan nilai 0,09390.</em></p><p><em><strong>Kata kunci</strong></em><em>: </em><em>weight product, bubur bayi instan</em></p>


2019 ◽  
Vol 0 (0) ◽  
pp. 1-29 ◽  
Author(s):  
Víctor G. Alfaro-García ◽  
José M. Merigó ◽  
Leobardo Plata-Pérez ◽  
Gerardo G. Alfaro-Calderón ◽  
Anna M. Gil-Lafuente

This paper introduces the induced ordered weighted logarithmic averaging IOWLAD and multiregion induced ordered weighted logarithmic averaging MR-IOWLAD operators. The distinctive characteristic of these operators lies in the notion of distance measures combined with the complex reordering mechanism of inducing variables and the properties of the logarithmic averaging operators. The main advantage of MR-IOWLAD operators is their design, which is specifically thought to aid in decision-making when a set of diverse regions with different properties must be considered. Moreover, the induced weighting vector and the distance measure mechanisms of the operator allow for the wider modeling of problems, including heterogeneous information and the complex attitudinal character of experts, when aiming for an ideal scenario. Along with analyzing the main properties of the IOWLAD operators, their families and specific cases, we also introduce some extensions, such as the induced generalized ordered weighted averaging IGOWLAD operator and Choquet integrals. We present the induced Choquet logarithmic distance averaging ICLD operator and the generalized induced Choquet logarithmic distance averaging IGCLD operator. Finally, an illustrative example is proposed, including real-world information retrieved from the United Nations World Statistics for global regions.


Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-31 ◽  
Author(s):  
Junling Zhang ◽  
Xiaowen Qi ◽  
Changyong Liang

Continuous environmental concerns regarding construction industry have been driving general constructors of mega infrastructure projects to incorporate green contractors. Although conventional multiple attributes decision-making (MADM) methodologies have provided feasible ways to select contractor, high complexity in scenarios of megaprojects still challenges existing MADM methods in concurrently accommodating three key issues of decision hesitancy, attributes interdependency, and group attitudinal character. To elicit decision-makers’ hesitant fuzzy assessments more objectively and comprehensively, we define an expression tool called interval-valued dual hesitant fuzzy uncertain unbalanced linguistic set (IVDHF_UUBLS) and develop aggregation operators through its operations. To exploit attributes interdependency, we establish a synthesized attributes’ weighting model to fuse an attributes interdependency-based weighting vector and an argument-dependent weighting vector, which are, respectively, derived through Decision-Making and Trial Evaluation Laboratory (DEMATEL) technique and maximizing deviation method. To effectively utilize decision-makers’ group attitudinal characters, we also develop a TOPSIS-based method to rationally transform group ideal attitudes into order-inducing vectors. On the strength of the above methods, an integrated MADM approach is then constructed. Finally, illustrative case study and experiments are conducted to validate our approach.


2018 ◽  
Vol 1132 ◽  
pp. 012059 ◽  
Author(s):  
A Awang ◽  
A T Ab Ghani ◽  
L Abdullah ◽  
M F Ahmad

Author(s):  
Hitoshi Yano ◽  

In this paper, we focus on multiobjective two-level fuzzy random programming problems with simple recourses, in which multiple objective functions are involved in each level, shortages and excesses resulting from the violation of the constraints with fuzzy random variables are penalized, and sums of the objective functions and expectation of the amount of the penalties are minimized. To deal with such problems, the concept of estimated Pareto Stackelberg solutions of the leader is introduced under the assumption that the leader can estimate the preference of the follower as a weighting vector of the weighting problems. Employing the possibility measure for fuzzy numbers, weighting method for multiobjective programming problems, and Kuhn-Tucker approach for two-level programming problems, a nonlinear optimization problem under complementarity conditions is formulated to obtain the estimated Pareto Stackelberg solutions for the leader. A numerical example illustrates the proposed method for a multiobjective two-level fuzzy random programming problem with simple recourses. Several types of estimated Pareto Stackelberg solutions are derived corresponding to the weighting vectors and permissible possibility levels specified by the leader.


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