scholarly journals PROBLEM OF DECISION-MAKING ON CONTROL OF THE PROCESS OF HYDRAULIC TREATMENT OF A CATALYTIC REFORMING PLANT IN A FUZZY MEDIUM AND DEVELOPMENT OF A METHOD FOR ITS SOLUTION

2021 ◽  
Vol 82 (4) ◽  
pp. 158-167
Author(s):  
B. Orazbaev ◽  
◽  
A. Zhumadillayeva ◽  
A. Tanirbergenova ◽  
K. Orazbayeva ◽  
...  
Keyword(s):  
Decision Making ◽  
Mathematical Formulation ◽  
Heuristic Method ◽  
Operating Mode ◽  
Catalytic Reforming ◽  
Initial Information ◽  
Fuzzy Environment ◽  
Manufactured Products ◽  
Decision Making Problem ◽  
Made In

The problems of formulating and solving the problem of making decisions on the control of the hydrotreating process in a fuzzy environment are investigated and an effective method for solving such problems with the involvement of experts, their experience, knowledge and intuition is proposed. The statement of the problem of controlling the hydrotreating process, which takes place in the hydrotreating reactor and is characterized by the indistinctness of the initial information, is obtained in the form of the problem of making decisions on the choice of the optimal operating mode of the hydrotreating reactor. The management criteria were chosen to maximize the volume of production, i.e. hydrogenate, and improving the quality characteristics of the manufactured products. In the mathematical formulation of the decision-making problem for the management of the hydrotreating process in a fuzzy environment and the development of a method for its solution, the ideas of the principle of the main criterion and maximin were used by adapting them to work in a fuzzy environment. A heuristic method has been developed for solving the assigned decision-making tasks for controlling the hydrotreating process in a fuzzy environment. The originality and novelty of the applied approach to the formulation and solution of the decision-making problem in a fuzzy environment consists in increasing the adequacy of the decision made in a fuzzy environment due to the maximum use of the initial fuzzy information.

scholarly journals Interval-Valued Intuitionistic Fuzzy Multicriteria Group Decision Making Based on VIKOR and Choquet Integral

2013 ◽  
Vol 2013 ◽  
pp. 1-16 ◽  
Author(s):  
Chunqiao Tan ◽  
Xiaohong Chen
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Choquet Integral ◽  
Decision Makers ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Environment ◽  
Decision Making Problem ◽  
Multicriteria Group Decision Making ◽  
Interval Valued

An effective decision making approach based on VIKOR and Choquet integral is developed to solve multicriteria group decision making problem with conflicting criteria and interdependent subjective preference of decision makers in a fuzzy environment where preferences of decision makers with respect to criteria are represented by interval-valued intuitionistic fuzzy sets. First, an interval-valued intuitionistic fuzzy Choquet integral operator is given. Some of its properties are investigated in detail. The extended VIKOR decision procedure based on the proposed operator is developed for solving the multicriteria group decision making problem where the interactive criteria weight is measured by Shapley value. An illustrative example is given for demonstrating the applicability of the proposed decision procedure for solving the multi-criteria group decision making problem in interval-valued intuitionistic fuzzy environment.

A Holistic-Based Multi-Criterion Decision-Making Approach for Solving Engineering Sciences Problem Under Imprecise Environment

2018 ◽  
pp. 298-330 ◽  
Author(s):  
Syed Abou Iltaf Hussain ◽  
Sankar Prasad Mondal ◽  
Uttam Kumar Mandal
Keyword(s):  
Decision Making ◽  
Multi Criteria Decision Making ◽  
Fuzzy Environment ◽  
Engineering Sciences ◽  
Decision Making Problem ◽  
Engineering Problems ◽  
Fuzzy Mcdm

Multi-Criteria Decision Making has evolved as an important tool for taking some of the most important decisions in the today's hi-tech engineering world. But due to some reasons like measurement difficulty, lack of data, faulty instruments, etc., or due to lack of absolute information about the topic, alternatives present and the criteria, decision making becomes very difficult as all parameter for modeling a decision making problem are not precise. In such scenario the importance of one with respect to the others are represented in terms of linguistic factor. Such cases could be tackled by considering the problem in fuzzy environment. In this chapter, the different hybrid fuzzy MCDM techniques are shown along with their application in different engineering problems. One problem is randomly selected and solved using different fuzzy MCDM techniques and compared the result with the existing literature.

scholarly journals An Interactive Procedure to Solve Multi-Objective Decision-Making Problem: An Improvment to STEM Method

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
R. Roostaee ◽  
M. Izadikhah ◽  
F. Hosseinzadeh Lotfi
Keyword(s):  
Decision Making ◽  
Multiobjective Programming ◽  
Multiple Criteria Decision Making ◽  
Feasible Region ◽  
Multiple Objective Linear Programming ◽  
Ideal Criterion ◽  
Decision Making Problem ◽  
Interactive Procedures ◽  
Made In ◽  
Criterion Vector

Decisions in the real-world contexts are often made in the presence of multiple, conflicting, and incommensurate criteria. Multiobjective programming methods such as multiple objective linear programming (MOLP) are techniques used to solve such multiple-criteria decision-making (MCDM) problems. One of the first interactive procedures to solve MOLP is STEM method. In this paper we try to improve STEM method in a way that we search a point in reduced feasible region whose criterion vector is closest to positive ideal criterion vector and furthest to negative ideal criterion vector. Therefore the presented method tries to increase the rate of satisfactoriness of the obtained solution. Finally, a numerical example for illustration of the new method is given to clarify the main results developed in this paper.

New Method for Solving a General Multiple Criteria Decision-Making Problem Under Risk in Fuzzy Environment

2016 ◽  
Vol 15 (05) ◽  
pp. 1157-1179 ◽  
Author(s):  
N. Thillaigovindan ◽  
S. Anita Shanthi ◽  
J. Vadivel Naidu
Keyword(s):  
Decision Making ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Fuzzy Soft Set ◽  
Score Functions ◽  
Fuzzy Environment ◽  
Criterion Weight ◽  
Decision Making Problem ◽  
Criteria Weights ◽  
Interval Valued

This paper considers a multiple criteria decision-making (MCDM) problem under risk in fuzzy environment in its general form. There are m alternatives which need to be ranked on the basis of a set of n criteria. The alternatives and the criteria are evaluated based on a set of l characteristics. The entire data is presented in the form of interval valued intuitionistic fuzzy soft set of root type. In addition each criterion is assigned a subjective criterion weight based on expert’s evaluation and each characteristic is assigned a probability weight on the basis of decision maker’s knowlege and understanding of the importance of the characteristic. This problem may be called as a MCDM problem under risk in fuzzy environment in its general form. A method for ranking the alternatives using the new score functions, prospect theory and method of determining the optimum criteria weights is explained. An algorithm is developed for this purpose and its working illustrated with a suitable example.

scholarly journals Bellman–Ford algorithm for solving shortest path problem of a network under picture fuzzy environment

2021 ◽  
Author(s):  
Mani Parimala ◽  
Said Broumi ◽  
Karthikeyan Prakash ◽  
Selçuk Topal
Keyword(s):  
Decision Making ◽  
Shortest Path ◽  
Fuzzy Set ◽  
Intuitionistic Fuzzy Set ◽  
Shortest Path Problem ◽  
Point Of View ◽  
The Novel ◽  
Fuzzy Environment ◽  
Picture Fuzzy Set ◽  
Decision Making Problem

AbstractAn elongation of the novel intuitionistic fuzzy set is a picture fuzzy set theory. The demonstration of this has been used to deal with the abstinence criteria in a decision-making problem. The uncertainty in nature occurs sometimes in real-world problems and amidst them, the prominent one is the shortest path problem (SPP) solving. In the last few years, one of the best algorithms on the network for finding SPP is Bellman–Ford. Due to uncertainty in the decision-making process, it becomes difficult for decision-makers for communicating their point of view and judgment with certainty. We conceive of SPP in this contribution via Bellman's algorithm (BA) for a network with trapezoidal picture fuzzy numbers (TPFNs). We introduce a new algorithm to stand the shortest picture fuzzy path between each pair of nodes. A TPFN is considered for the length of all edges. A numerical example for the validation of the presented algorithm has also been proposed. There has also been relative research with existing techniques showing the benefits of the new algorithm.

scholarly journals Development of mathematical models and optimization of operation modes of the oil heating station of main oil pipelines under conditions of fuzzy initial information

2021 ◽  
Vol 6 (2 (114)) ◽  
pp. 147-162
Author(s):  
Batyr Orazbayev ◽  
Zhadra Moldasheva ◽  
Kulman Orazbayeva ◽  
Valentina Makhatova ◽  
Lyailya Kurmangaziyeva ◽  
...  
Keyword(s):  
Heuristic Method ◽  
Pipeline System ◽  
Initial Information ◽  
Oil Pipeline ◽  
Operating Modes ◽  
Fuzzy Environment ◽  
Operation Modes ◽  
Heating Station ◽  
Main Oil Pipeline ◽  
Selection Of

The relevance of the study is substantiated by the fact that when managing the processes of oil transportation through main pipelines, it becomes necessary to determine and select the optimal operating modes of the oil pipeline units, taking into account the fuzziness of some part of the initial information. In this regard, solving the problem of multi-criteria selection of effective operating modes for an oil heating station for a hot oil pipeline system, which is often described in a fuzzy environment, based on the apparatus of fuzzy set theories, is an urgent scientific and practical problem. A method for the synthesis of models in the conditions of fuzzy output parameters of the object has been developed, with the help of which fuzzy models of the investigated oil heating station of the main oil pipeline have been built. Based on the modification and combination of various optimality principles, mathematical formulations of the problem of multi-criteria selection of effective operating modes for an oil heating station in a fuzzy environment are obtained. By modifying and adapting the principles of guaranteed results and equality in a fuzzy environment, a heuristic method has been developed for solving the formulated problem of selecting object's operation modes using the initial fuzzy information. The proposed heuristic method for multi-criteria selection in a fuzzy environment is based on the use of the experience and knowledge of the decision-maker. The proposed approach is implemented in the formulation and solution of the problem of multi-criteria selection of operating modes of the oil heating station in Atyrau of the Uzen-Atyrau-Samara main oil pipeline. As a result of the application of the proposed method, an improvement in the degree of fulfillment of a fuzzy restriction on environmental impact was achieved by 2 %, as well as the optimal values of the operating parameters of the object were improved: the temperature was reduced by 1.85 % (5.67 K), pressure – by 0.04 % (kPa) and fuel consumption – by 2.9 % (0.0002 kg/s). The obtained results have confirmed the effectiveness of the proposed approach to solving the assigned tasks.

Some Generalized Dual Hesistant Fuzzy Geometric Aggregation Operators and Applications

2014 ◽  
Vol 22 (03) ◽  
pp. 367-384 ◽  
Author(s):  
Dejian Yu
Keyword(s):  
Decision Making ◽  
Human Resource ◽  
Information Aggregation ◽  
Aggregation Operators ◽  
Multi Criteria Decision Making ◽  
Fuzzy Information ◽  
Numerical Examples ◽  
Fuzzy Environment ◽  
Decision Making Problem

Information aggregation has been investigated and applied to many fields. This paper focuses on geometric aggregation operators under dual hesitant fuzzy environment. We develop some new geometric aggregation operators, such as the generalized dual hesitant fuzzy weighted geometric (GDHFWG) operator, the generalized dual hesitant fuzzy ordered weighted geometric (GDHFOWG) operator and the generalized dual hesitant fuzzy hybrid geometric (GDHFHG) operator. Some numerical examples are given to illustrate the developed operators. Finally, we give an application of our proposed operators to multi-criteria decision making with dual hesitant fuzzy information, a real decision making problem about human resource generalist selection is forwarded to show the effectiveness of our proposed method.

scholarly journals Creating a common priority vector in intuitionistic fuzzy AHP: a comparison of entropy-based and distance-based models

2021 ◽  
Author(s):  
Szabolcs Duleba ◽  
Ahmad Alkharabsheh ◽  
Fatma Kutlu Gündoğdu
Keyword(s):  
Decision Making ◽  
Large Scale ◽  
Fuzzy Ahp ◽  
Process Models ◽  
Analytic Hierarchy ◽  
Priority Vector ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Environment ◽  
Proposed Model ◽  
Decision Making Problem

AbstractIn the case of conflicting individuals or evaluator groups, finding the common preferences of the participants is a challenging task. This statement also refers to Intuitionistic Fuzzy Analytic Hierarchy Process models, in which uncertainty of the scoring of individuals is well-handled, however, the aggregation of the modified scores is generally conducted by the conventional way of multi-criteria decision-making. This paper offers two options for this aggregation: the relatively well-known entropy-based, and the lately emerged distance-based aggregations. The manuscript can be considered as a pioneer work by analyzing the nature of distance-based aggregation under a fuzzy environment. In the proposed model, three clearly separable conflicting groups are examined, and the objective is to find their common priority vector, which can be satisfactory to all participant clusters. We have tested the model results on a real-world case study, on a public transport development decision-making problem by conducting a large-scale survey involving three different stakeholder groups of transportation. The comparison of the different approaches has shown that both entropy-based and distance-based techniques can provide a feasible solution based on their high similarity in the final ordinal and cardinal outcomes.

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