Article
Mathematics, Applied
M. Joghataee, T. Allahviranloo, F. Hosseinzadeh Lotfi, A. Ebrahimnejad, S. Abbasbandy, A. Amirteimoori, M. Catak
Summary: This paper introduces a new numerical method based on the ranking function to solve linear programming problems with Z numbers. The necessary theories are proved and theoretical and practical examples are provided to illustrate the correctness of the method. The results obtained from the proposed method are compared with existing methods.
IRANIAN JOURNAL OF FUZZY SYSTEMS
(2023)
Article
Mathematics
Saeid Jafarzadeh Ghoushchi, Elnaz Osgooei, Gholamreza Haseli, Hana Tomaskova
Summary: New methods for solving fully fuzzy linear programming (FFLP) problems have been recommended recently. This study proposes a new approach utilizing triangular fuzzy numbers for fuzzy decision parameters and variables to tackle FFLP problems. By incorporating alpha-cut theory and modified triangular fuzzy numbers, the strategy aims to optimize decision variables and the objective function to obtain the optimal fully fuzzy solution for real-world problems. Multiple numerical examples are solved to demonstrate the effectiveness of this method.
Article
Automation & Control Systems
M. Ranjbar, S. Effati, S. M. Miri
Summary: This paper introduces a new approach to solve fully hesitant fuzzy linear programming problems with hesitant fuzzy numbers as parameters. By converting the problem into interval linear programming problems and using statistical regression analysis, approximate solutions are obtained. The method is validated through an example, showing that the solutions for decision variables and objective function are reasonable.
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE
(2022)
Article
Computer Science, Artificial Intelligence
Sapan Kumar Das
Summary: This article addresses a fully fuzzy triangular linear fractional programming problem with parameters and decision variables characterized by triangular fuzzy numbers. A new concept is proposed to reduce computational complexity without sacrificing effectiveness. Mathematical models are used to evaluate the legitimacy, usefulness, and applicability of the method, showing that the novel strategies are superior to current techniques.
COMPLEX & INTELLIGENT SYSTEMS
(2022)
Article
Computer Science, Artificial Intelligence
Diptiranjan Behera
Summary: This article proposes an alternative method for solving epistemic uncertainty in a fuzzy-based linear programming problem with equality constraints. The optimal solution to the fuzzy problem is achieved by solving a related crisp problem, where the objective function is obtained by taking a linear combination of the fuzzified version of the original uncertain objective function. The coefficients of the linear combination are strictly positive real numbers, and the constraints of the crisp problem are equivalent to the equality constraints of the fuzzy problem. Triangular fuzzy numbers are used in the analysis. Comparisons are made with previous studies by Kumar et al. (Appl Math Model 35:817-823, 2011), Najafi and Edalatpanah (Appl Math Model 37:7865-7867, 2013), Ezzati et al. (Appl Math Model 39:3183-3193, 2015), and Ghoushchi et al. (Mathematics 9:2937, 2021).
Article
Engineering, Multidisciplinary
E. Fathy, E. Ammar, M. A. Helmy
Summary: In situations where the input data is ambiguous, it is difficult to accurately determine the membership and non-membership degrees of set elements. In this paper, we propose a simple approach to solve the fully intuitionistic fuzzy multi-level linear fractional programming problem.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Mathematics, Applied
Muhammad Akram, Inayat Ullah, Tofigh Allahviranloo, S. A. Edalatpanah
Summary: The study extends the concept of crisp linear programming problems in a Pythagorean fuzzy environment using triangular Pythagorean fuzzy numbers. It considers profit/cost coefficients, input/output coefficients, and decision variables as triangular Pythagorean fuzzy numbers when solving linear programming problems. The proposed technique is applied to solve practical models with equality constraints for non-negative and unrestricted triangular Pythagorean fuzzy numbers.
COMPUTATIONAL & APPLIED MATHEMATICS
(2021)
Article
Computer Science, Artificial Intelligence
Velu Lakshmana Gomathi Nayagam, Jagadeeswari Murugan
Summary: This paper introduces the weighted triangular approximation process of a new type of intuitionistic fuzzy number with bounded membership function and bounded nonmembership function, and discusses some useful properties of the approximation on intuitionistic fuzzy numbers.
Article
Computer Science, Information Systems
Jiuying Dong, Shuping Wan, Shyi-Ming Chen
Summary: This paper introduces a new fuzzy best-worst method based on triangular fuzzy numbers for multi-criteria decision-making. Mathematical programming models are constructed to derive optimal fuzzy weights of criteria and four linear programming models are proposed for different types of decision makers. The concept of fuzzy consistency index and ratio are also proposed and validated through application examples.
INFORMATION SCIENCES
(2021)
Article
Computer Science, Artificial Intelligence
Muhammad Akram, Inayat Ullah, Tofigh Allahviranloo, S. A. Edalatpanah
Summary: A Pythagorean fuzzy set serves as a robust model for illustrating fuzziness and uncertainty, proving to be more adaptable and practical than an intuitionistic fuzzy model. This research introduces a new model known as LR-type fully Pythagorean fuzzy linear programming problem, offering a method to solve it with numerical examples. The LR-type Pythagorean fuzzy number, ranking system, and arithmetic operations are considered within this context.
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
(2021)
Article
Computer Science, Artificial Intelligence
Sapan Kumar Das, Avishek Chakraborty
Summary: This paper introduces a new approach to solve pentagonal neutrosophic linear programming problems, which for the first time considers pentagonal neutrosophic numbers as objectives and constraints. By describing arithmetic operations and mathematical computations in a pentagonal neutrosophic number environment, the authors design an algorithm that converts the problem into a crisp linear programming issue, which can be solved effectively using existing LP methods. Numerical tests are conducted to demonstrate the adequacy of the proposed model.
COMPLEX & INTELLIGENT SYSTEMS
(2021)
Article
Computer Science, Artificial Intelligence
Manisha Malik, S. K. Gupta, I Ahmad
Summary: This article introduces a method for solving linear programming problems using intuitionistic fuzzy numbers, which converts the problem into a non-linear programming problem and finds the optimal solution, proposing an effective decision-making approach with greater flexibility.
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
(2021)
Article
Mathematics, Applied
S. Saghi, A. Nazemi, S. Effati, M. Ranjbar
Summary: In the real world, we often encounter optimization and decision-making problems that require the input of experts and masters to make the best decisions. However, there are few studies on optimization problems with hesitant fuzzy parameters, especially hesitant fuzzy linear programming (HFLP) problems with hesitant cost coefficients. Therefore, in this paper, we propose the simplex method to solve these problems and evaluate its applicability through two illustrative examples with hesitant fuzzy information.
IRANIAN JOURNAL OF FUZZY SYSTEMS
(2023)
Article
Automation & Control Systems
Manisha Malik, S. K. Gupta
Summary: This article addresses a special class of non-linear programming problems, namely linear fractional programming problems with multiple objectives. It proposes a simple and computationally efficient approach to solve these problems, and demonstrates the feasibility and usefulness of the approach through a numerical illustration.
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
(2022)
Article
Computer Science, Hardware & Architecture
D. Gurukumaresan, C. Duraisamy, R. Srinivasan
Summary: This paper solves a fuzzy transportation problem under a fuzzy environment using octagonal fuzzy numbers, aiming to find the minimum transportation cost for supplies. The method utilizes ranking technique to illustrate the optimal solution, which is demonstrated with a numerical example.
COMPUTER SYSTEMS SCIENCE AND ENGINEERING
(2021)
Article
Computer Science, Interdisciplinary Applications
Beyza Ahlatcioglu Ozkok
COMPUTERS & INDUSTRIAL ENGINEERING
(2020)
Article
Transportation Science & Technology
Gizem Temelcan, Hale Gonce Kocken, Inci Albayrak
PROMET-TRAFFIC & TRANSPORTATION
(2019)
Article
Computer Science, Artificial Intelligence
Gizem Temelcan, Hale Gonce Kocken, Inci Albayrak
Summary: This study proposes a new algorithm that converts FFMOLP problems into FFLP problems and finds fuzzy compromise solutions through a game theory approach.
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
(2022)
Article
Economics
Gizem Temelcan, Hale Gonce Kocken, Inci Albayrak
Summary: Traffic congestion is an unavoidable issue in transportation networks, leading to negative impacts on traffic safety, time wastage, traffic delays, and costs. Traffic assignment plays a crucial role in improving traffic management, safety, time efficiency, and cost effectiveness. The System Optimum Traffic Assignment Problem (SOTAP) aims to minimize total system travel time and adhere to flow conservation constraints, with the possibility of using fuzzy parameters for a more realistic model.
SOCIO-ECONOMIC PLANNING SCIENCES
(2021)
Article
Statistics & Probability
Sema Akin Bas, Hale Gonce Kocken, Beyza Ahlatcioglu Ozkok
Summary: This paper presents a novel algorithm based on the traditional definition of continuity to solve the linear fractional transportation problem (LFTP), and discusses the asymptotic solution for LFTP for the first time. Numerical examples are used to illustrate the method and compare it with existing methods. Additionally, an application with an environmentalist objective is solved using real case data.
PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH
(2022)
Article
Statistics & Probability
Hande Gunay Akdemir, Hale Gonce Kocken
Summary: A new approach for regression modeling with crisp input and fuzzy output is proposed in this study. The method involves generating sample data with symmetrical triangular fuzzy outputs, applying robust linear regression multiple times, determining the centers and spreads of the coefficients, and identifying outliers. Numerical examples and comparison studies are conducted to demonstrate the effectiveness of the proposed method. Additionally, the method is applied to predict the popularity of YouTube videos related to Covid-19.
JOURNAL OF STATISTICS AND MANAGEMENT SYSTEMS
(2022)
Article
Physics, Multidisciplinary
Mert Akin Insel, Selcan Karakus, Gizem Temelcan, Hale Gonce Kocken, Inci Albayrak
Summary: Fuzzy regression is used to predict the rheological properties of a bio-nanocomposite, and the fuzzy-hybrid model is found to outperform the crisp model in terms of accuracy and generality. This study highlights the impressive potential of the proposed models in nanotechnological manufacturing applications.
Article
Engineering, Chemical
Hale Gonce Kocken, Mert Akin Insel, Gizem Temelcan, Selcan Karakus, Inci Albayrak
Summary: Surface tension is a crucial rheological parameter in nanoliquids, affecting the thermophysical and mass transfer properties of nanostructures. Accurately estimating surface tension is essential for optimizing production processes. However, experimental errors in data used for mathematical modeling due to challenges in nanoparticle production and property measurement exist. This study proposes a fuzzy-hybrid approach to model surface tension of carboxymethyl cellulose/chitosan-alpha-Fe2O3 nanoparticles, which outperforms a crisp approach in terms of error metrics. This research contributes to the field of modeling rheological properties and highlights the potential of using the fuzzy-hybrid approach for nanoscale rheological modeling.
CANADIAN JOURNAL OF CHEMICAL ENGINEERING
(2023)
Article
Computer Science, Artificial Intelligence
Hande Gunay Akdemir, Hale Gonce Kocken
Summary: This study proposes a new form of score function called the weighted average membership function for both intuitionistic and picture fuzzy sets. by including refusal and neutrality degrees for picture fuzzy sets, and hesitancy for intuitionistic fuzzy sets, the new representative membership function can be used to rank and defuzzify fuzzy numbers. The proposed convex combination type of score function provides an extended approach by incorporating decision behaviors and produces special cases for different function parameters.
NEURAL COMPUTING & APPLICATIONS
(2023)
Article
Engineering, Civil
Nadire Ucler, Hale Gonce Kocken
Summary: Rapid population growth, industrialization, and lifestyle modernization have led to an increased demand for water. However, water supplies are decreasing due to declining precipitation, excessive use, and resource deterioration. This study proposes a multi-objective mixed-integer programming approach to create a feasible strategic plan for selecting alternative water supply projects. The proposed model considers various criteria and integrates the analytical hierarchical process technique. Simulation results demonstrate the applicability of the proposed model compared to a classic optimization model.
WATER RESOURCES MANAGEMENT
(2023)
Article
Operations Research & Management Science
Hande Gunay Akdemir, Hale Gonce Kocken, Nurdan Kara
Summary: This paper proposes a method based on credibilistic chance constraints and expected values for solving multiple objective linear programming problems with generalized fuzzy coefficients and crisp decision variables. The method uses chance constraints to manage confidence in meeting imprecise constraints and employs expected values for defuzzification of objective functions. It also introduces a unified method for simulating generalized fuzzy numbers and conducts computational experiments to validate the proposed methodology.
Article
Computer Science, Information Systems
Nurdan Kara, Hale Gonce Kocken
Summary: This paper discusses the conflicts between objectives in Multi-objective Solid Transportation Problem (MSTP) and proposes a fuzzy approach to integrate these objectives as much as possible. The hyperbolic membership function is used instead of the commonly used linear membership function, and the mixed constrained form of MSTP is addressed. A numerical example is provided to illustrate the construction of the hyperbolic membership function and its representation of the degree of satisfaction of the objective functions.
CYBERNETICS AND INFORMATION TECHNOLOGIES
(2021)
Article
Operations Research & Management Science
Sema Akin Bas, Beyza Ahlatcioglu Ozkok
OPERATIONS RESEARCH AND DECISIONS
(2020)
Article
Operations Research & Management Science
Mustafa Sivri, Hale Gonce Kocken, Inci Albayrak, Sema Akin
OPERATIONS RESEARCH AND DECISIONS
(2019)
