scholarly journals A fuzzy-set approach to treat determinacy and consistency of linguistic terms in multi-criteria decision making

2007 ◽  
Vol 44 (2) ◽  
pp. 165-181 ◽  
Author(s):  
J. Ma ◽  
D. Ruan ◽  
Y. Xu ◽  
G. Zhang
Keyword(s):  
Decision Making ◽  
Fuzzy Set ◽  
Multi Criteria Decision Making ◽  
Linguistic Terms

scholarly journals Dimensional Analysis under Linguistic Pythagorean Fuzzy Set

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 440
Author(s):  
Aldo Joel Villa Silva ◽  
Luis Pérez-Domínguez ◽  
Erwin Martínez Gómez ◽  
David Luviano-Cruz ◽  
Delia Valles-Rosales
Keyword(s):  
Decision Making ◽  
Dimensional Analysis ◽  
Fuzzy Set ◽  
Multi Criteria Decision Making ◽  
Linguistic Variables ◽  
Mutual Relationship ◽  
Pythagorean Fuzzy Set ◽  
Cnc Router ◽  
Selection Of

Dimensional analysis under linguistic Pythagorean fuzzy set (DA-LPFS) is a technique to handle qualitative (intangible) as well as the interactions between criteria, by combining dimensional analysis (DA) and Pythagorean fuzzy set (PFS) with linguistic variables. In this paper, a novel DA method is proposed for LPFSs based in a PFS extension, in order to consider the mutual relationship among criteria and handle qualitative (fuzzy) and quantitative (crisp) information usually involved in Multi-criteria decision making (MCDM) problems. Finally, DA-LPFS is applied to handle a case concerning the selection of CNC router to illustrate the applicability of the method.

Complex q-rung orthopair fuzzy Schweizer–Sklar Muirhead mean aggregation operators and their application in multi-criteria decision-making

2021 ◽  
pp. 1-23
Author(s):  
Peide Liu ◽  
Tahir Mahmood ◽  
Zeeshan Ali
Keyword(s):  
Decision Making ◽  
Comparative Analysis ◽  
Imaginary Part ◽  
Fuzzy Set ◽  
Score Function ◽  
Aggregation Operators ◽  
Unit Interval ◽  
Multi Criteria Decision Making ◽  
Accuracy Function ◽  
Special Cases

Complex q-rung orthopair fuzzy set (CQROFS) is a proficient technique to describe awkward and complicated information by the truth and falsity grades with a condition that the sum of the q-powers of the real part and imaginary part is in unit interval. Further, Schweizer–Sklar (SS) operations are more flexible to aggregate the information, and the Muirhead mean (MM) operator can examine the interrelationships among the attributes, and it is more proficient and more generalized than many aggregation operators to cope with awkward and inconsistence information in realistic decision issues. The objectives of this manuscript are to explore the SS operators based on CQROFS and to study their score function, accuracy function, and their relationships. Further, based on these operators, some MM operators based on PFS, called complex q-rung orthopair fuzzy MM (CQROFMM) operator, complex q-rung orthopair fuzzy weighted MM (CQROFWMM) operator, and their special cases are presented. Additionally, the multi-criteria decision making (MCDM) approach is developed by using the explored operators based on CQROFS. Finally, the advantages and comparative analysis are also discussed.

scholarly journals Complex T-spherical fuzzy Dombi aggregation operators and their applications in multiple-criteria decision-making

2021 ◽  
Author(s):  
Faruk Karaaslan ◽  
Mohammed Allaw Dawood Dawood
Keyword(s):  
Decision Making ◽  
Sensitivity Analysis ◽  
Fuzzy Set ◽  
Multiple Criteria Decision Making ◽  
Aggregation Operators ◽  
Multi Criteria Decision Making ◽  
Two Dimensional ◽  
Weighted Arithmetic ◽  
Mcdm Method ◽  
Dombi Operations

AbstractComplex fuzzy (CF) sets (CFSs) have a significant role in modelling the problems involving two-dimensional information. Recently, the extensions of CFSs have gained the attention of researchers studying decision-making methods. The complex T-spherical fuzzy set (CTSFS) is an extension of the CFSs introduced in the last times. In this paper, we introduce the Dombi operations on CTSFSs. Based on Dombi operators, we define some aggregation operators, including complex T-spherical Dombi fuzzy weighted arithmetic averaging (CTSDFWAA) operator, complex T-spherical Dombi fuzzy weighted geometric averaging (CTSDFWGA) operator, complex T-spherical Dombi fuzzy ordered weighted arithmetic averaging (CTSDFOWAA) operator, complex T-spherical Dombi fuzzy ordered weighted geometric averaging (CTSDFOWGA) operator, and we obtain some of their properties. In addition, we develop a multi-criteria decision-making (MCDM) method under the CTSF environment and present an algorithm for the proposed method. To show the process of the proposed method, we present an example related to diagnosing the COVID-19. Besides this, we present a sensitivity analysis to reveal the advantages and restrictions of our method.

Multi-criteria decision making and pattern recognition based on similarity measures for Fermatean fuzzy sets

2021 ◽  
pp. 1-17
Author(s):  
Changlin Xu ◽  
Juhong Shen
Keyword(s):  
Decision Making ◽  
Pattern Recognition ◽  
Fuzzy Sets ◽  
Fuzzy Set ◽  
Medical Diagnosis ◽  
Intuitionistic Fuzzy Set ◽  
Similarity Measures ◽  
New Method ◽  
Fuzzy Decision Making ◽  
Multi Criteria Decision Making

 Higher-order fuzzy decision-making methods have become powerful tools to support decision-makers in solving their problems effectively by reflecting uncertainty in calculations better than crisp sets in the last 3 decades. Fermatean fuzzy set proposed by Senapati and Yager, which can easily process uncertain information in decision making, pattern recognition, medical diagnosis et al., is extension of intuitionistic fuzzy set and Pythagorean fuzzy set by relaxing the restraint conditions of the support for degrees and support against degrees. In this paper, we focus on the similarity measures of Fermatean fuzzy sets. The definitions of the Fermatean fuzzy sets similarity measures and its weighted similarity measures on discrete and continuous universes are given in turn. Then, the basic properties of the presented similarity measures are discussed. Afterward, a decision-making process under the Fermatean fuzzy environment based on TOPSIS method is established, and a new method based on the proposed Fermatean fuzzy sets similarity measures is designed to solve the problems of medical diagnosis. Ultimately, an interpretative multi-criteria decision making example and two medical diagnosis examples are provided to demonstrate the viability and effectiveness of the proposed method. Through comparing the different methods in the multi-criteria decision making and the medical diagnosis application, it is found that the new method is as efficient as the other methods. These results illustrate that the proposed method is practical in dealing with the decision making problems and medical diagnosis problems.

scholarly journals PENGAPLIKASIAN METODE FUZZY ANALYTIC HIERARCHY PROCESS (FAHP) PADA PENENTUAN PIMILIHAN SUPPLIER BENANG (Studi Kasus di CV. Sarung Indah Sejahterah)

2020 ◽  
Vol 1 (1) ◽  
pp. 11
Author(s):  
Syamsul Huda ◽  
Pregiwati Pusporini ◽  
Said Salim Dahda
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Fuzzy Set ◽  
Analytical Hierarchy Process ◽  
Fuzzy Analytic Hierarchy Process ◽  
Multi Criteria Decision Making ◽  
Fuzzy Analytical Hierarchy Process ◽  
Analytic Hierarchy ◽  
Hierarchy Process

Pemilihan supplier merupakan salah satu aktivitas dalam rangkaian pekerjaan CV Sarung Indah Sejahtera. Aktivitas ini dikategorikan dalam aktivitas strategis, karena peran supplier akan turut dalam menentukan keberhasilan perusahaan, apabila barang yang disediakan supplier tidak sesuai dengan kebutuhan perusahaan, maka dapat dipastikan bahwa proses pekerjaan akan terganggu. Berpijak dari latar belakang tersebut maka tujuan dari penelitian ini adalah menentukan supplier yang dapat memberikan perfomansi terbaik, berdasarkan kriteria dan subkriteria yang telah ditentukan perusahaan. CV Sarung Indah Sejahterah adalah sebuah perusahaan yang memproduksi dan menjual sarung tenun tangan tanpa mesin, sehingga kualitas menjadi hal yang sangat penting. Penelitian ini melibatkan lebih dari satu kriteria dalam menentukan supplier, agar dapat membuat keputusan yang tepat maka diperlukan metode Multi Criteria Decision Making (MCDM). Metode yang digunakan disini adalah metode Analytical Hierarchy Process (AHP) dan Fuzzy Set, yang untuk selanjutnya disebut dengan metode Fuzzy Analytical Hierarchy Process (FAHP). Yaitu ketidakmampuan dalam mempertimbangkan ketidakpastian yang muncul akibat subjektivitas manusia. Hasil penenelitian menenjukkan bahwa tedapat 4 kriteria yang harus dipertimbangkan dalam menentukan supplier di CV Sarung Indah Sejahterah. Keempat kriteria tersebut adalah pengiriman, kualitas, pelayanan, harga. Hasil dari tahapan metode Fuzzy Analytical Hierarchy Process (FAHP). Didapatkan urutan sebagai berikut : Supplier 1 BNP 101,813, Supplier 2 BNP 117,29, Supplier 3 BNP 99,59.

Fuzzy Structural Models and Based Applications in Digital Marketplace

2018 ◽  
pp. 703-714 ◽  
Author(s):  
Anil Kumar ◽  
Manoj Kumar Dash
Keyword(s):  
Decision Making ◽  
Literature Review ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Mathematical Formulation ◽  
Structural Models ◽  
Structural Modeling ◽  
Multi Criteria Decision Making ◽  
Interpretive Structural Modeling

One of the well-known topics of decision making is Multi-Criteria Decision Making (MCDM). Fuzzy set theory helps to provide a useful way to address a MCDM problem. Without models, MCDM methods cannot be practiced effectively, therefore, it is interesting to clarify the structure among criteria. But the shortcoming of MCDM is unable to capture imprecision or vagueness inherent in the information. Fuzzy set theory has great potential to handle such situations and fuzzy structural models have been developed. In this chapter widely used structural models i.e. Interpretive Structural Modeling (ISM), Decision Making Trial and Evaluation Laboratory (DEMATEL), and Cognition Maps (CMs) are first summarized briefly along with their mathematical formulation and then diffusion these models into fuzzy set theory is explained along with a literature review of the based applications of these models in the digital marketplace.

scholarly journals Suatu Kajian Tentang Fungsi Skor Diperumum yang Baru dari Himpunan Kabur Intuisionistik Bernilai Interval dan Aplikasinya

2019 ◽  
Vol 8 (1) ◽  
pp. 99
Author(s):  
Irham Maulana Putra ◽  
Monika Rianti Helmi
Keyword(s):  
Decision Making ◽  
Fuzzy Set ◽  
Multi Criteria Decision Making

Pengambilan keputusan multi kriteria (Multi Criteria Decision Making/MCDM) adalah salah satu proses untuk menemukan pengambilan keputusan alternatif yang optimal dengan beberapa kriteria atau atribut. Tetapi pada pengambilan keputusan dalam kehidupan nyata, tujuan dan batasan umumnya tidak tepat atau tidak jelas karena tidak dapat diperkirakan dengan nilai numerik yang tepat. Untuk mengatasi permasalahan tersebut, teori himpunan kabur (Fuzzy Set/FS) yang diperkenalkan oleh L.A Zadeh [10] telah banyak digunakan untuk menangani ketidakpastian dan ketidakjelasan suatu data. Teori himpunan kabur intuisionistik (Intuitionistik Fuzzy Set/IFS) [1] merupakan perluasan dari teori himpunan kabur. Ada dua topik penting dalam teori himpunan kabur Intuisionistik bernilai interval, yaitu MCDM dan perluasan fungsi skor yang telah banyak diteliti secara luas oleh peneliti dari berbagai sudut pandang. Dalam tulisan ini Penulis ingin mengkaji kembali bagaimana menyelesaikan masalah pengambilan keputusan multi-kriteria dengan menggunakan fungsi skor yang ditingkatkan yang diperumum dengan menggunakan bobot yang disebut atribut untuk mendapatkan keputusan yang tepat dan sesuai dengan waktu yang singkat.Diterima: Direvisi: Dipublikasikan :Kata Kunci: Himpunan Kabur, Himpunan Kabur Intuisionistik, Fungsi skor

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