Partitioned fuzzy measure-based linear assignment method for Pythagorean fuzzy multi-criteria decision-making with a new likelihood

2019 ◽  
Vol 71 (5) ◽  
pp. 831-845 ◽  
Author(s):  
Decui Liang ◽  
Adjei Peter Darko ◽  
Zeshui Xu ◽  
Yinrunjie Zhang
Keyword(s):  
Decision Making ◽  
Fuzzy Measure ◽  
Multi Criteria Decision Making ◽  
Assignment Method ◽  
Linear Assignment

scholarly journals A BI-OBJECTIVE SCORE-VARIANCE BASED LINEAR ASSIGNMENT METHOD FOR GROUP DECISION MAKING WITH HESITANT FUZZY LINGUISTIC TERM SETS

2018 ◽  
Vol 24 (3) ◽  
pp. 1125-1148 ◽  
Author(s):  
Seyed Hossein RAZAVI HAJIAGHA ◽  
Meisam SHAHBAZI ◽  
Hannan AMOOZAD MAHDIRAJI ◽  
Hossein PANAHIAN
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Decision Makers ◽  
Assignment Method ◽  
Linguistic Term ◽  
Criteria Weights ◽  
Individual Evaluation ◽  
Fuzzy Linguistic ◽  
Linear Assignment

Decision makers usually prefer to express their preferences by linguistic variables. Classic fuzzy sets allowed expressing these preferences using a single linguistic value. Considering inevitable hesitancy of decision makers, hesitant fuzzy linguistic term sets allowed them to express individual evaluation using several linguistic values. Therefore, these sets improve the ability of humans to determine believes using their own language. Considering this feature, in this paper a method upon linear assignment method is proposed to solve group decision making problems using this kind of information, when criteria weights are known or unknown. The performance of the proposed method is illustrated in a numerical example and the results are compared with other methods to delineate the models efficiency. Following a logical and well-known mathematical logic along with simplicity of execution are the main advantages of the proposed method.

scholarly journals SOFTWARE SELECTION ON BASE OF SUGENO INTEGRAL

World Science ◽  
2020 ◽  
Author(s):  
Vagif Salimov
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Mutual Influence ◽  
Evaluation Criteria ◽  
Fuzzy Measure ◽  
Multi Criteria Decision Making ◽  
Main Difficulty ◽  
Software Selection ◽  
Sugeno Integral ◽  
Theory Of Fuzzy Sets

The article is devoted to the problem of  software selection. As a rule, this tasks are formalized as models of multi-criteria decision making (MCDM). The peculiarity of this problem is in the fact that the evaluation criteria , is generally defined by linguistic expert. This requires the use of special methods, in particularly, the theory of fuzzy sets. To solve the problem, an approach based on the  a fuzzy measure  was used . In general, a fuzzy measure allows one to take into account the effect of the mutual influence of criteria. The main difficulty lies in identifying this measure. The fuzzy Sugeno measure and  Sugeno integral were used. An example of solving the indicated problem is given.

An Approach Based on Definite Integrals to Multi-Criteria Decision Making with Correlative Intuitionistic Fuzzy Information

2016 ◽  
Vol 24 (06) ◽  
pp. 807-829 ◽  
Author(s):  
Shan Yu ◽  
Zeshui Xu
Keyword(s):  
Decision Making ◽  
Fuzzy Measure ◽  
Multi Criteria Decision Making ◽  
Fuzzy Information ◽  
Definite Integrals ◽  
Intuitionistic Fuzzy ◽  
Technology Improvement ◽  
Fusion Methods

Integration plays a very important role in the fusion methods. In this paper, we put forward the subtraction and division definite integrals based on the fuzzy measure and the admissible order for aggregating not only discrete but also continuous correlative intuitionistic fuzzy information. These definite integrals are implemented by constructing the integrands and the integral limits respectively, and based on which an approach to multi-criteria decision making with correlative intuitionistic fuzzy information is developed. Finally, an illustrative example involving technology improvement of Midwest American Manufacturing Corp is employed to verify the practicality and effectiveness of our approach.

scholarly journals Assessment of combating-desertification strategies using the linear assignment method

Solid Earth ◽  
2016 ◽  
Vol 7 (2) ◽  
pp. 673-683 ◽  
Author(s):  
Mohammad Hassan Sadeghravesh ◽  
Hassan Khosravi ◽  
Soudeh Ghasemian
Keyword(s):  
Decision Making ◽  
Groundwater Resources ◽  
Plant Cover ◽  
Optimal Strategies ◽  
Degraded Lands ◽  
Assignment Method ◽  
Multi Attribute Decision Making ◽  
Combating Desertification ◽  
And Control ◽  
Linear Assignment

Abstract. Nowadays desertification, as a global problem, affects many countries in the world, especially developing countries like Iran. With respect to increasing importance of desertification and its complexity, the necessity of attention to the optimal combating-desertification alternatives is essential. Selecting appropriate strategies according to all effective criteria to combat the desertification process can be useful in rehabilitating degraded lands and avoiding degradation in vulnerable fields. This study provides systematic and optimal strategies of combating desertification by use of a group decision-making model. To this end, the preferences of indexes were obtained through using the Delphi model, within the framework of multi-attribute decision making (MADM). Then, priorities of strategies were evaluated by using linear assignment (LA) method. According to the results, the strategies to prevent improper change of land use (A18), development and reclamation of plant cover (A23), and control overcharging of groundwater resources (A31) were identified as the most important strategies for combating desertification in this study area. Therefore, it is suggested that the aforementioned ranking results be considered in projects which control and reduce the effects of desertification and rehabilitate degraded lands.

Selection of Most Proper Blasting Pattern in Mines Using Linear Assignment Method: Sungun Copper Mine / Wybór Najodpowiedniejszego Schematu Prowadzenia Prac Strzałowych W Kopalni Miedzi Sungun Z Użyciem Metody Przyporządkowania Liniowego

2015 ◽  
Vol 60 (1) ◽  
pp. 375-386
Author(s):  
Mojtaba Yari ◽  
Raheb Bagherpour ◽  
Saeed Jamali ◽  
Fatemeh Asadi
Keyword(s):  
Decision Making ◽  
Pattern Selection ◽  
Copper Mine ◽  
Technical Parameters ◽  
Sungun Copper Mine ◽  
Blasting Pattern ◽  
Assignment Method ◽  
Correct Pattern ◽  
Multi Attribute Decision Making ◽  
Linear Assignment

Abstract One of the most important operations in mining is blasting. Improper design of blasting pattern will cause technical and safety problems. Considering impact of results of blasting on next steps of mining, correct pattern selection needs a great cautiousness. In selecting of blasting pattern, technical, economical and safety aspects should be considered. Thus, most appropriate pattern selection can be defined as a Multi Attribute Decision Making (MADM) problem. Linear assignment method is one of the very applicable methods in decision making problems. In this paper, this method was used for the first time to evaluate blasting patterns in mine. In this ranking, safety and technical parameters have been considered to evaluate blasting patterns. Finally, blasting pattern with burden of 3.5 m, spacing of 4.5 m, stemming of 3.8 m and hole length of 12.1 m has been presented as the most suitable pattern obtained from linear assignment model for Sungun Copper Mine.

scholarly journals Evaluation of equipment maintenance quality: A hybrid multi-criteria decision-making approach

2019 ◽  
Vol 11 (3) ◽  
pp. 168781401983601 ◽  
Author(s):  
Libin Zhang ◽  
Lele Zhang ◽  
Hongying Shan
Keyword(s):  
Genetic Algorithm ◽  
Decision Making ◽  
Particle Swarm Optimization ◽  
Artificial Bee Colony Algorithm ◽  
Artificial Bee Colony ◽  
Fuzzy Measure ◽  
Fuzzy Integral ◽  
Multi Criteria Decision Making ◽  
Swarm Optimization ◽  
Bee Colony

Maintenance plays a crucial role in the entire life cycle of equipment. With the acceleration of industrialization, the evaluation of equipment maintenance quality has undoubtedly become more challenging due to the complex mechanical structure, various maintenance modes, and so on. In order to make decisions scientifically, a hybrid multi-criteria decision-making approach integrating triangle fuzzy number, λ-fuzzy measure, TOPSIS, and Choquet fuzzy integral is proposed in this article. First, the interaction among criteria can be handled reasonably by fuzzy integral based on λ-fuzzy-measure. Second, fuzzy numbers which are given by experts are applied to deal with fuzzy linguistic value. In addition, artificial bee colony algorithm is first introduced to identify λ-fuzzy-measure. The comparison results of three optimization algorithms which include artificial bee colony algorithm, genetic algorithm, and particle swarm optimization prove artificial bee colony algorithm is more effective than genetic algorithm and particle swarm optimization. A case study which contains six maintenance alternatives is practiced to prove the effectiveness of the proposed hybrid multi-criteria decision-making approach. Finally, the comparison is made between the proposed method and two classical multi-criteria decision-making approaches which refer to TOPSIS and gray correlation, and the results demonstrate the proposed method is suitable to solve maintenance quality evaluation problem.

A new algorithm for mutual funds evaluation based on multiple attribute decision making techniques

Kybernetes ◽  
2016 ◽  
Vol 45 (8) ◽  
pp. 1194-1212 ◽  
Author(s):  
Reza Alibakhshi ◽  
Mohammad Reza Sadeghi Moghadam
Keyword(s):  
Decision Making ◽  
Performance Evaluation ◽  
Mutual Funds ◽  
Multiple Attribute Decision Making ◽  
Content Type ◽  
Assignment Method ◽  
Multiple Attribute ◽  
Wide Range ◽  
Points Of View ◽  
Linear Assignment

Purpose The purpose of this paper is to consider compromise solutions of multiple attribute decision-making methods (TOPSIS, VIKOR, and similarity-based approach) in order to evaluate and rank mutual funds and to compare the capabilities of different approaches based on the different traditional indices of mutual funds assessment. In addition, a new algorithm for ranking mutual funds was proposed subsequently. Design/methodology/approach In this research, three groups of indices including general, risk-modified performance evaluation, and risk-modified performance evaluation indices using semivariance were used in the mutual funds assessment, which led to the comparison between selected mutual funds, using three mentioned methods and three different groups of criteria. The results of this comparison were compiled and synthesized with linear assignment method. At the end, an algorithm for decision making and investing in mutual funds for professional and unprofessional investors was proposed. Findings Using different methods and different criteria proved that the results of similarity-based approach as a MADM technique have the ability to rank and evaluate mutual funds regardless of the criteria used compared to TOPSIS and VIKOR. Furthermore, the authors propose the algorithm of this research as a new model of mutual funds evaluation which considers a wide range of variables with respect to amateur and professional points of view. Originality/value The originality of this paper is threefold: first, different criteria were considered to make the evaluation more comprehensive. Second, four different approaches were used to make the results more authentic. Third, a holistic algorithm with its implication was proposed.

Sign in / Sign up

Export Citation Format

Share Document