Optimal locating by integrating volumetric fuzzy sets and geographic coordinate system: An application to healthcare
•Volumetric fuzzy set (VFS) is a new fuzzy set proposed for two-dimensional variables.•We apply the VFS for finding the coordinates of the best location for a new facility.•We present a new volumetric fuzzy goal following to be far from an anti-ideal point.•We design a weighted volumetric fuzzy mult...
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| Published in | Computers & operations research Vol. 161; p. 106377 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.01.2024
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0305-0548 |
| DOI | 10.1016/j.cor.2023.106377 |
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| Abstract | •Volumetric fuzzy set (VFS) is a new fuzzy set proposed for two-dimensional variables.•We apply the VFS for finding the coordinates of the best location for a new facility.•We present a new volumetric fuzzy goal following to be far from an anti-ideal point.•We design a weighted volumetric fuzzy multi-objective decision-making (VFMODM).•We use the VFMODM to find the coordinates of the best location for a new hospital.
The volumetric fuzzy set (VFS) deals with the uncertainties associated with two-dimensional variables. This study shows the application of VFS in finding the optimal coordinates for a new hospital by considering several fuzzy goals. For this purpose, we first define two types of volumetric fuzzy goals: type one following the proximity to an ideal point and type two following far from an anti-ideal point. Then, we extract the membership functions (MFs) for type-one and type-two volumetric fuzzy goals. These MFs determine the membership degrees of each point for volumetric fuzzy goals based on its distances from the ideal or anti-ideal points. We consider the Manhattan distance to extract these MFs because it better measures the real distance between two points in urban areas. Next, we design a new weighted volumetric fuzzy multi-objective decision-making (VFMODM) model considering type-one and type-two fuzzy goals. This model answers this question: what are the optimal coordinates for a new hospital to maximize overall satisfaction? Compared to existing fuzzy optimization models, the VFMODM model considers uncertainty for two-dimensional variables. |
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| AbstractList | •Volumetric fuzzy set (VFS) is a new fuzzy set proposed for two-dimensional variables.•We apply the VFS for finding the coordinates of the best location for a new facility.•We present a new volumetric fuzzy goal following to be far from an anti-ideal point.•We design a weighted volumetric fuzzy multi-objective decision-making (VFMODM).•We use the VFMODM to find the coordinates of the best location for a new hospital.
The volumetric fuzzy set (VFS) deals with the uncertainties associated with two-dimensional variables. This study shows the application of VFS in finding the optimal coordinates for a new hospital by considering several fuzzy goals. For this purpose, we first define two types of volumetric fuzzy goals: type one following the proximity to an ideal point and type two following far from an anti-ideal point. Then, we extract the membership functions (MFs) for type-one and type-two volumetric fuzzy goals. These MFs determine the membership degrees of each point for volumetric fuzzy goals based on its distances from the ideal or anti-ideal points. We consider the Manhattan distance to extract these MFs because it better measures the real distance between two points in urban areas. Next, we design a new weighted volumetric fuzzy multi-objective decision-making (VFMODM) model considering type-one and type-two fuzzy goals. This model answers this question: what are the optimal coordinates for a new hospital to maximize overall satisfaction? Compared to existing fuzzy optimization models, the VFMODM model considers uncertainty for two-dimensional variables. |
| ArticleNumber | 106377 |
| Author | Dehghani, Sanaz Nadimi-Shahraki, Mohammad H. Hadi-Vencheh, Abdollah Arman, Hosein Golmohammadi, Amir-Mohammad |
| Author_xml | – sequence: 1 givenname: Hosein orcidid: 0000-0003-2451-3997 surname: Arman fullname: Arman, Hosein email: hosein.arman@yahoo.com organization: Department of Management, Najafabad Branch, Islamic Azad University, Najafabad, Iran – sequence: 2 givenname: Abdollah surname: Hadi-Vencheh fullname: Hadi-Vencheh, Abdollah email: ahadi@khuisf.ac.ir organization: Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran – sequence: 3 givenname: Amir-Mohammad orcidid: 0000-0001-5467-9838 surname: Golmohammadi fullname: Golmohammadi, Amir-Mohammad email: a-golmohammadi@araku.ac.ir organization: Department of Industrial Engineering, Faculty of Engineering, Arak University, Arak, Iran – sequence: 4 givenname: Sanaz surname: Dehghani fullname: Dehghani, Sanaz organization: Department of Management, Najafabad Branch, Islamic Azad University, Najafabad, Iran – sequence: 5 givenname: Mohammad H. surname: Nadimi-Shahraki fullname: Nadimi-Shahraki, Mohammad H. email: nadimi@iaun.ac.ir organization: Faculty of Computer Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran |
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| SubjectTerms | Facility location problem Fuzzy 0–1 programming Multi-objective optimization Volumetric fuzzy sets |
| Title | Optimal locating by integrating volumetric fuzzy sets and geographic coordinate system: An application to healthcare |
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