2024 : 2 : 26
Amir-Mohammad Golmohammadi

Amir-Mohammad Golmohammadi

Academic rank: Assistant Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Engineering
Address: Arak University
Phone:

Research

Title
Optimal locating by integrating volumetric fuzzy sets and geographic coordinate system: An application to healthcare
Type
JournalPaper
Keywords
Facility location problem Multi-objective optimization Volumetric fuzzy sets Fuzzy 0–1 programming
Year
2023
Journal Computers and Operations Research
DOI
Researchers Amir-Mohammad Golmohammadi

Abstract

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.