scholarly journals Simple Additive Weighting Method Equipped with Fuzzy Ranking of Evaluated Alternatives

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 482 ◽  
Author(s):  
Krzysztof Piasecki ◽  
Ewa Roszkowska ◽  
Anna Łyczkowska-Hanćkowiak
Keyword(s):  
Scoring System ◽  
Fuzzy Numbers ◽  
Scoring Function ◽  
Weighting Method ◽  
Nonincreasing Sequence ◽  
Decision Alternative ◽  
Ranking Of Alternatives ◽  
Fuzzy Ranking ◽  
Simple Additive Weighting ◽  
Decision Alternatives

From the perspective of each evaluation criterion, any decision alternative is evaluated by means of trapezoidal ordered fuzzy numbers (TrOFN). This approach is justified in the way that some criteria are linguistically evaluated. In this paper, decision alternatives are evaluated using oriented fuzzy Simple Additive Weighting (OF-SAW) scoring function. The ranking of alternatives may be defined by means of a nonincreasing sequence of defuzzified values of a scoring function. Any defuzzification procedure distorts ordered fuzzy numbers in a way that information on imprecision and orientation is lost. This undermines the credibility of the determined alternatives’ ranking. The main purpose of this paper is to avoid the defuzzification stage in the OF-SAW method. Thus, the OF-SAW method is equipped with fuzzy scoring order. This OF-SAW method is described as a negotiation scoring system. We study an empirical example of the OF-SAW application and rank some negotiation offers. Here, we focus on the effects of replacing the defuzzified scoring function by a fuzzy one. The obtained conclusions are generalized for the case of any decision alternatives.

scholarly journals Impact of the Orientation of the Ordered Fuzzy Assessment on the Simple Additive Weighted Method

Symmetry ◽  
2019 ◽  
Vol 11 (9) ◽  
pp. 1104 ◽  
Author(s):  
Piasecki ◽  
Roszkowska ◽  
Łyczkowska-Hanćkowiak
Keyword(s):  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Weighting Method ◽  
Centrally Symmetric ◽  
Decision Alternative ◽  
Simple Additive Weighting ◽  
Fuzzy Assessment ◽  
Decision Alternatives ◽  
The Right ◽  
Increase In Risk

We examine some aspects of the use of Simple Additive Weighting method to evaluate decision alternatives. Decision alternative attributes may be evaluated by verbal assessments which by their nature are imprecise. This means that for the purposes of Simple Additive Weighting method, any verbal assessment is represented by a fuzzy number being an imprecise approximation of a number. In this paper, all verbal assessments are represented by ordered fuzzy numbers. This approach is justified in the way that any ordered fuzzy number is additionally equipped with orientation, i.e., information about the location of the approximated number. The family of all ordered fuzzy numbers is divided into centrally symmetric families of positively oriented fuzzy numbers and of negatively oriented fuzzy numbers. The main purpose of this paper is to examine the consequences of omitting orientation of criterion ratings. We restrict all considerations to the case of trapezoidal oriented fuzzy numbers. We prove the mathematical theorem that an orientation omission can result in an increase in risk when choosing the right decision alternative. We study an empirical example of the Simple Additive Weighting method application to rank some negotiation offers. From the discussion, it follows that an orientation omission results in an increase in risk.

scholarly journals On Application of Ordered Fuzzy Numbers in Ranking Linguistically Evaluated Negotiation Offers

2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Krzysztof Piasecki ◽  
Ewa Roszkowska
Keyword(s):  
Fuzzy Numbers ◽  
Scoring Function ◽  
Numerical Approach ◽  
Ideal Solution ◽  
Application Potential ◽  
Simple Additive Weighting ◽  
Support Evaluation ◽  
Theoretical Foundations

The main purpose of this paper is to investigate the application potential of ordered fuzzy numbers (OFN) to support evaluation of negotiation offers. The Simple Additive Weighting (SAW) and the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) methods are extended to the case when linguistic evaluations are represented by OFN. We study the applicability of OFN for linguistic evaluation negotiation options and also provide the theoretical foundations of SAW and TOPSIS for constructing a scoring function for negotiation offers. We show that the proposed framework allows us to represent the negotiation information in a more direct and adequate way, especially in ill-structured negotiation problems, allows for holistic evaluation of negotiation offers, and produces consistent rankings, even though new packages are added or removed. An example is presented in order to demonstrate the usefulness of presented fuzzy numerical approach in evaluation of negotiation offers.

MULTIPLE ATTRIBUTE DECISION MAKING WITH MULTIPLE FORMATS OF ATTRIBUTE ASPIRATIONS: A METHOD BASED ON PROSPECT THEORY

2013 ◽  
Vol 12 (04) ◽  
pp. 711-727 ◽  
Author(s):  
ZHI-PING FAN ◽  
XIAO ZHANG ◽  
YAN-RU ZHAO ◽  
FA-DONG CHEN
Keyword(s):  
Decision Making ◽  
Prospect Theory ◽  
Multiple Attribute Decision Making ◽  
Reference Points ◽  
Weighting Method ◽  
Multiple Attribute ◽  
Ranking Of Alternatives ◽  
Simple Additive Weighting ◽  
Gain Loss

In this paper, a method based on prospect theory is proposed to solve the multiple attribute decision making (MADM) problem with three formats of attribute aspirations. According to the idea of prospect theory, reference points concerning attributes are first determined. Then, for the three formats of attribute aspirations, the calculation formulae of alternatives' gains/losses concerning attributes are given. By calculating each alternative's gain/loss, a gain–loss matrix is constructed. Further, using the value function from prospect theory and the simple additive weighting method, the overall prospect value of each alternative is calculated. Based on the obtained overall prospect values, a ranking of alternatives can be determined. Finally, a case study is given to illustrate the use of the proposed method.

scholarly journals Application of the Oriented Fuzzy Numbers in Credit Risk Assessment

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 535
Author(s):  
Aleksandra Wójcicka-Wójtowicz ◽  
Krzysztof Piasecki
Keyword(s):  
Risk Assessment ◽  
Risk Management ◽  
Credit Risk ◽  
Fuzzy Numbers ◽  
Scoring Function ◽  
Decision Makers ◽  
Credit Risk Management ◽  
Credit Risk Assessment ◽  
Simple Additive Weighting ◽  
Credit Standards

Over the years, banks have faced many difficulties, related mainly to lax credit standards for borrowers and counterparties. The goal of credit risk management is to maintain the volume of credit risk at acceptable level as it is a vital feature in risk management. Credit analysts take into consideration factors of a wider spectrum, e.g., the prospects of the line of business, the experience of board members, credibility of suppliers, etc. Those factors are often considered on the linguistic scale, which includes such imprecise and inaccurate phrases, for instance, such as: more/less experienced, better/worse prospects, etc., which, for the experts and decision makers, are justified and result from their personal experience, preferences and human nature. The paper presents the approach of supporting methods in the credit risk decision-making process. It presents evaluation scales of imprecise phrases commonly used during the process of credit risk assessment based on experts’ preferences. Due to the imprecision, the oriented fuzzy numbers are a useful tool. For such described evaluation scales, we use a scoring function determined with the use of an adapted Simple Additive Weighting (SAW) method.

SYSTEM PENDETEKSI KELAYAKAN KOLAM IKAN NILA MENGGUNAKAN METODE SAW (SIMPLE ADDITIVE WEIGHTING) BERBASIS IoT (INTERNET OF THINGS)

2021 ◽  
Vol 14 (1) ◽  
pp. 22-32
Author(s):  
Anderias Eko Wijaya ◽  
Aldi Riyadi
Keyword(s):  
Internet Of Things ◽  
Water Temperature ◽  
Body Shape ◽  
Fish Ponds ◽  
Weighting Method ◽  
Method Calculation ◽  
Turbidity Level ◽  
High Turbidity ◽  
Simple Additive Weighting ◽  
The Internet Of Things

Tilapia (Oreochromis niloticus) is a type of freshwater fish consumption with elongated and flattened body shape laterally and blackish white color. Tilapia originated from the Nile River and surrounding lakes. Now this fish has spread to countries on five continents with tropical and subtropical climates. Whereas in cold climates, tilapia cannot live well. ideal water temperature in tilapia enlargement ponds ranges between 27.7-29.3 ° C, where fish will grow optimally at water temperatures around 25-32 ° C.for the pH of the tilapia enlargement ponds range between 6, 4-8.5 and turbidity range of 3-19 NTU, because this high turbidity level has an effect on the amount of tilapia mortality. With the system that the researchers created, it was easier to determine a suitable fish pond to maintain as a life of tilapia with the help of the Internet of Things network system and reduce the failure rate in breeding and implementation of Thingspeak as a platform to display the results of data obtained by sensors and calculated with method calculation. This system takes data with temperature sensors, pH and Turbidity, to find water temperature, acidity and alkalinity in water and turbidity of water. Then the data obtained is sent to the ESP8266 module network and sent to the thingspeak platform, the data that appears is inputted into the database to be processed using the SAW method, the results of the SAW method calculation are displayed by the system. Implementation of the SAW (Simple Additive Weighting) Method for Detecting the Feasibility of Iot-Based Fish Ponds (Internet of Things) has been successfully implemented. So that it can rank tilapia ponds based on parameters of temperature, pH, turbidity.

scholarly journals Ticket Payment Information System On The Sea Beach Light Using Simple Additive Weighting Method

2019 ◽  
Vol 1 (1) ◽  
pp. 25
Author(s):  
Eko Siswanto ◽  
Bayu Abdur rohman
Keyword(s):  
Information System ◽  
Data Collection ◽  
The Other ◽  
Weighting Method ◽  
Report Generation ◽  
Daily Lives ◽  
Central Java ◽  
Report Data ◽  
Simple Additive Weighting ◽  
Card Model

<p>The Sea Beach Cahaya is one of the rising beach attractions in Kendal Regency, Central Java. In general, the tourism object of The Sea Pantai Cahaya still does not use many computer systems in their daily lives. As with tourism ticket purchases and also entrance tickets, vehicles that still use ticket paper as proof of payment, it is often disrupted if it is still fussing with the queue conditions and questions by visitors. On the other hand, report data collection is still considered slow.</p><p>One way to overcome the above problems is to make a ticket payment system that is computerized using the SAW (Simple Additive Weighting) method, replace paper tickets with a card model and also use the network to shorten report generation.</p>

scholarly journals IMPLEMENTATION OF SIMPLE ADDITIVE WEIGHTING METHOD IN THE DETERMINATION SYSTEM OF THESIS SUPERVISOR

2021 ◽  
Vol 23 (2) ◽  
pp. 133-141
Author(s):  
Renny Puspita Sari ◽  
Ferdy Febriyanto ◽  
Ibnur Rusi
Keyword(s):  
Higher Education ◽  
Information Systems ◽  
Higher Education Institutions ◽  
Natural Sciences ◽  
Weighting Method ◽  
Weight Value ◽  
Determination System ◽  
Simple Additive Weighting

Majors are part of higher education institutions that a very important role determining the thesis student supervisor . At the Department of Information Systems, Faculty of Mathematics and Natural Sciences (MIPA) the determination of the thesis supervisor is carried out through a lecturer meeting based on its title in accordance with the competence of the lecturer who will guide, regardless of the number of lecturers' workload or the number of students being supervised. The results of the decision of the meeting to determine the supervisors will be announced to students after the meeting is held. This flow inefficient and may lead to ineffective determination of the supervisor . The final result of the system shows that the Simple Additive Weighting (SAW) method can be applied to determine the weight value of each attribute so as to produce a ranking of each alternative lecture who will be selected as a student supervisor for the thesis according to the result of computerized and accurate calculations.

scholarly journals PENENTUAN JURUSAN SISWA SMK DENGAN MENERAPKAN METODE SIMPLE ADDITIVE WEIGHTING

Jursima ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 65-71
Author(s):  
Monsya Juansen
Keyword(s):  
Weighting Method ◽  
Simple Additive Weighting

Kesesuaian jurusan yang dipilih oleh seorang siswa merupakan salah satu factor pendukung keberhasilan capaian lulusan siswa SMK, sehingga untuk mewujudkan ketepatan jurusan ini peneliti membangun sebuah Sistem Pendukung Keputusan penentuan jurusan. Pada penelitian ini data yang dikelola adalah data siswa kelas 1 bidang keahlian Teknik Komputer dan Informatika yang akan naik ke kelas 2, karena penjurusan dilakukan pada saat siswa naik ke kelas 2, yang nanti akan dibagi menjadi 3 jurusan, jurusan-jurusan tersebut adalah Teknik Komputer dan Jaringan, Multimedia, dan Rekayasa Perangkat Lunak. Penelitian ini menerapakan sistem pendukung keputusan dengan algoritma algoritma Additive Weighting Method (SAW). Penelitian ini sangat membantu pihak sekolah dalam memberikan rekomendasi jurusan kepada siswa supaya siswa berada pada jurusan yang tepat sesuai minat bakat yang ada pada siswa

scholarly journals DECISION SUPPORT SYSTEM IN ASSESSMENT OF EMPLOYEE PERFORMANCE AT MNC GROUP USING SAW (SIMPLE ADDITIVE WEIGHTING) METHOD USING WHITE BOX TESTING

2018 ◽  
Vol 3 (1) ◽  
pp. 125-138
Author(s):  
Nur Roqim
Keyword(s):  
Decision Support ◽  
Decision Support System ◽  
Performance Appraisal ◽  
Support System ◽  
Employee Performance ◽  
Weighted Sums ◽  
Risk Level ◽  
Weighting Method ◽  
White Box Testing ◽  
Simple Additive Weighting

MNC Group as a television media company, performs performance appraisal for each employee as a job evaluation material, which is carried out by the head of the division, one of which is the head of the technical division of 112 other employees. The process of evaluating employee performance at MNC Group is still done manually, which is using Microsoft Excel applications one by one which makes the length of the process. The employee's assessment and appraisal report does not display the ranking from the top to the bottom of all of the employees. Decision support system in evaluating employee performance in MNC Group using the SAW (Simple Additive Weighting) method with this white box test is made to assist the head of the division to expand employee appraisal capabilities. The employee performance appraisal process is carried out in a computerized, structured and systematic manner based on the assessment criteria previously determined by the MNC Group, namely the quantity of work, accuracy & time management, quality of work and efficiency. The SAW (Simple Additive Weighting) method is a weighted addition method by looking for weighted sums of performance ratings on each alternative on all attributes. So that it can be obtained from every employee at MNC Group. Testing of system results that have been made is very necessary to know that the system is running well. Tests carried out are white box testing which is based on checking the details of the design, using the control structure of the program design procedurally to divide the test into several test cases. So that the value of the test results is known, namely 2 with the type of procedure is a simple procedure and the risk level is low risk.

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