Picture fuzzy tensor and its application in multi-attribute decision making

2021 ◽  
pp. 1-15
Author(s):  
Jiulin Jin ◽  
Fuyang Zhu ◽  
Taijie You
Keyword(s):  
Decision Making ◽  
Decomposition Theorem ◽  
Typical Application ◽  
Fuzzy Madm ◽  
Multi Attribute Decision Making

In this paper, picture fuzzy tensor is proposed, and some related properties are studied. In the meantime, the decomposition theorem of picture fuzzy tensors is established by using picture fuzzy cutting tensors and picture fuzzy t-norm. Moreover, we propose the generalized picture fuzzy weighted interaction aggregation (GPFWIA) operator and the generalized picture fuzzy weighted interaction geometric (GPFWIG) operator. Finally, an application of picture fuzzy tensor in multi-attribute decision making (MADM) problems is presented, that is, a method is suggested to solve picture fuzzy MADM problems with multi-dimensional data characteristics. It is found that our proposed method is feasible and effective by a typical application example.

SISTEM PENDUKUNG KEPUTUSAN DALAM PENENTUAN MUTU BERAS MISKIN MENGGUNAKAN FUZZY MADM MODEL YAGER

JURNAL TIKA ◽  
2021 ◽  
Vol 6 (02) ◽  
Author(s):  
Rini Meiyanti
Keyword(s):  
Decision Making ◽  
Economically Disadvantaged ◽  
Optimal Solution ◽  
Rice Quality ◽  
Disadvantaged Group ◽  
Rice Distribution ◽  
Fuzzy Madm ◽  
Multi Attribute Decision Making ◽  
Operational Activities ◽  
Do So

Rice distribution for economically disadvantaged group of people is one of the main  operational activities of  Bulog Company to advance Indonesian society welfare. Decision making for rice quality for the addressee often became a complicated problem. Overcoming those problems  takes an effective step in order to take a decision. One way to do so is to perform the classification process and search for the best result using the existing data. The use of software can be an optimal solution of the problem by using the method of Fuzzy Multi Attribute Decision Making (FMADM) Yager. This application will ease Perum Bulog to determine the best rice quality to be distributed to the economically disadvantaged group of people. After fuzzification of data to work with FMADM Yager perform pairwise comparisons are based on the value of an attribute of interest, determined the value of the weight (W), reappointment, and ranking the final results. Based on the results, then the KP. Adi Rizka an optimal alternative to the value of 0.8131 which it included in the category of suitable is 0.8. The system is built using the PHP programming language and MySQL database.

scholarly journals A Multi-Attribute Pearson’s Picture Fuzzy Correlation-Based Decision-Making Method

Mathematics ◽  
2019 ◽  
Vol 7 (10) ◽  
pp. 999 ◽  
Author(s):  
Jin ◽  
Wu ◽  
Sun ◽  
Zeng ◽  
Luo ◽  
...  
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Correlation Coefficient ◽  
Ideal Point ◽  
New Correlation ◽  
Fuzzy Correlation ◽  
Relative Proximity ◽  
Fuzzy Madm ◽  
Multi Attribute Decision Making ◽  
Picture Fuzzy Sets

As a generalization of several fuzzy tools, picture fuzzy sets (PFSs) hold a special ability to perfectly portray inherent uncertain and vague decision preferences. The intention of this paper is to present a Pearson’s picture fuzzy correlation-based model for multi-attribute decision-making (MADM) analysis. To this end, we develop a new correlation coefficient for picture fuzzy sets, based on which a Pearson’s picture fuzzy closeness index is introduced to simultaneously calculate the relative proximity to the positive ideal point and the relative distance from the negative ideal point. On the basis of the presented concepts, a Pearson’s correlation-based model is further presented to address picture fuzzy MADM problems. Finally, an illustrative example is provided to examine the usefulness and feasibility of the proposed methodology.

scholarly journals Perancangan Aplikasi Perangkingan Perguruan Tinggi Menggunakan Fuzzy Simple Additive Weighting (SAW) (Studi Kasus: 25 PT Wilayah Kopertis XIII Provinsi Aceh)

2018 ◽  
Vol 2 (1) ◽  
pp. 1
Author(s):  
Rizaldi Akbar
Keyword(s):  
Decision Making ◽  
Decision Making Process ◽  
First Order ◽  
College Ranking ◽  
Aceh Province ◽  
Fuzzy Madm ◽  
Speed Up ◽  
Multi Attribute Decision Making ◽  
Simple Additive Weighting ◽  
Support Decision Making

a b s t r a c t This research aims to make a ranking College in Aceh and its applications processing data.The College in question is 25 (twenty five) in the region XIII Kopertis Aceh province using Simple Additive Weighting (SAW) is one method that can be used to solve the problem of Fuzzy MADM. Application of decision support system (DSS) this can take account of all criteria that support decision making in order to help speed up and facilitate the decision-making process and do the rangking in particular. Based on the results of the study it can be concluded then the Fuzzy method of Multi Attribute Decision Making (FMADM) and Simple Additive Weighting (SAW) can provide information ranking College, where the final results will be calculated the value of preferences (Vi) the highest of each alternative.The highest value was made the first priority as the best college. The end result of the application of the method of College ranking in the form of the SAW with the first order at Serambi Mekkah of University with the value of 0.89 and a low of STMIK Abulyatama value of 0.38. a b s t r a k Penelitian ini bertujuan untuk membuat sebuah perangkingan perguruan tinggi di Aceh beserta aplikasi pengolahan datanya. Perguruan tinggi yang dimaksudkan adalah 25 (dua puluh lima) PTS di Wilayah Kopertis Wilayah XIII Provinsi Aceh dengan menggunakan Metode Simple Additive Weighting (SAW) merupakan salah satu metode yang dapat digunakan untuk menyelesaikan masalah Fuzzy MADM. Aplikasi Sistem Pendukung Keputusan (SPK) ini dapat memperhitungkan segala kriteria yang mendukung pengambilan keputusan guna membantu mempercepat dan mempermudah proses pengambilan keputusan dan melakukan perangkingan khususnya. Berdasarkan hasil penelitian maka dapat disimpulkan Metode Fuzzy Multi Attribute Decision Making (FMADM) dan Simple Additive Weighting (SAW) dapat memberikan informasi perangkingan perguruan tinggi, dimana hasil akhir akan dihitung nilai preferensi (Vi) tertinggi dari masing-masing alternatif. Nilai tertinggi dijadikan prioritas pertama sebagai perguruan tinggi terbaik. Hasil akhir dari penerapan metode SAW berupa perangkingan perguruan tinggi dengan urutan pertama pada Universitas Serambi Mekkah dengan nilai 0.89 dan terendah STMIK Abulyatama dengan nilai 0.38.

scholarly journals Aplikasi Metode Fuzzy Multi-Attribute Decision Making Berbasis Web dalam Pemilihan Calon Kepala Daerah di Indonesia

2013 ◽  
Vol 7 (1) ◽  
pp. 101 ◽  
Author(s):  
Muhamad Munawar Yusro ◽  
Retantyo Wardoyo
Keyword(s):  
Decision Making ◽  
Visual Appearance ◽  
Decision Making System ◽  
Total Integral ◽  
Fuzzy Madm ◽  
Multi Attribute Decision Making ◽  
Direct Elections

AbstrakSejak tahun 2005 di Indonesia sudah dilaksanakan pemilihan kepala daerah (pilkada) secara langsung mulai dari pemilihan kepala desa, bupati, walikota sampai dengan gubernur. Majalah SwaSembada menyebutkan ada pemilihan langsung untuk 500 anggota DPR; 33 gubernur, serta sekitar 460 pemilihan untuk jabatan bupati dan wali kota. Dalam penelitian ini dibuat sebuah aplikasi yang mampu mensimulasikan suatu bentuk aplikasi pengambilan keputusan kasus Penentuan Pilihan Calon Kepala Daerah di Indonesia menggunakan metode Fuzzy MADM yang dikembangkan oleh Moon Hyun Joo dan Chang Sun Kang. Sistem ini mempunyai kemampuan menampung input kriteria yang diinginkan dari pengguna, alternatif pasangan calon, dan pada akhirnya mampu memberikan tampilan visual berupa himpunan solusi terbaik dari beberapa alternatif yang diberikan menggunakan metode perangkingan Nilai Total integral. Dari dua kasus pemilihan bupati yang diujikan ternyata hasil perangkingan tidak selalu sama tergantung dari tingkat keoptimisan (a) yang dipakai. Kata kunci— fuzzy, fmadm, pemilihan kepala daerah AbstractSince 2005, in Indonesia the election of regional leader (pilkada) has been held directly start from election of countryside head, regent, mayor up to governor. SwaSembada Magazine mentioned that there are direct elections to elect 500 members of DPR; 33 governors, and also about 460 elections for the occupation of lord mayor and regent. The aim of this research is to create an application which is capable to simulate a Decision Making System in the case of Determination the Choice in the Election of Regional Leader in Indonesia using the Fuzzy MADM method developed by Moon Hyun Joo and Chang Sun Kang. This system is able to accomodate the criterion input as the consumer want, alternative of candidate couple, and finally can give the visual appearance in the form of best solution gathering from some given alternatives using the Nilai Total integral sort method. This system has been implemented in two elections of Regional Leader, and from the test can be concluded that the result of the sort is not always the same. It depends on the optimism storey level (a) that used in the system. Keywords— fuzzy, fmadm, election of regional leader

ANALISIS SISTEM PENDUKUNG KEPUTUSAN PENERIMA BEASISWA DI SMP MUHAMMADIYAH 2 KALASAN

Respati ◽  
2017 ◽  
Vol 12 (34) ◽  
Author(s):  
Christian Budi Andrianto ◽  
Kusrini Kusrini ◽  
Hanif Al Fatta
Keyword(s):  
Decision Making ◽  
Action Research ◽  
Black Box ◽  
Fuzzy Madm ◽  
Multi Attribute Decision Making ◽  
Simple Additive Weighting

Abstrak – Analisis sistem pendukung keputusan penerima beasiswa di SMP Muhammadiyah 2 Kalasan ini mempunyai tujuan untuk memberikan rekomendasi calon penerima beasiswa kepada pengambil keputusan di SMP Muhammadiyah 2 Kalasan, membangun aplikasi Sistem Pendukung Keputusan untuk menentukan siswa yang layak menerima beasiswa berdasarkan criteria yang telah ditentukan di SMP Muhammadiyah 2 Kalasan serta untuk menguji hasil dari prototype sistem pendukung keputusan menggunakan metode Fuzzy Multi Attribute Decision Making metode Simple Additive Weighting (SAW) dibandingkan perhitungan secara manual menggunakan metode yang sama. Penelitian ini menggunakan metode action research. Penelitian ini membahas tentang seleksi penerimaan beasiswa dengan metode Fuzzy Multi Attribute Decision Making metode Simple Additive Weighting (SAW). Hasil pengujian Black box, sistem yang dibangun mempunyai hasil output sesuai dengan yang diharapkan. Hasil penelitian ini dapat digunakan oleh Kepala Sekolah SMP Muhammadiyah 2 Kalasan untuk membantu dalam mementukan penerima beasiswa dengan memberikan alternative pilihan. Sistem yang dibuat mampu menghasilkan perangkingan untuk memberikan rekomendasi penerima beasiswa kepada Kepala Sekolah. Sistem Pendukung keputusan penerima beasiswa dengan metode Fuzzy MADM dan metode Simple Additive Weighting yang dibangun, mempunyai hasil perhitungan yang sesuai dengan perhitungan manual.Kriteria yang digunakan sistem pendukung keputusan ini sesuai dengan kriteria yang ditetapkan di SMP Muhammadiyah 2 Kalasan yaitu Penghasilan orang tua, Rata-rata nilai raport, Jumlah tanggungan orang tua dan presentase kehadiran siswa.Kata kunci: SPK, Fuzzy, SAW, Beasiswa

scholarly journals New Similarity Measures of Single-Valued Neutrosophic Multisets Based on the Decomposition Theorem and Its Application in Medical Diagnosis

Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 466 ◽  
Author(s):  
Qingqing Hu ◽  
Xiaohong Zhang
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Representation Theorem ◽  
Medical Diagnosis ◽  
Theoretical Basis ◽  
Great Influence ◽  
Similarity Measures ◽  
Multicriteria Decision Making ◽  
Decomposition Theorem ◽  
Multi Attribute Decision Making

Cut sets, decomposition theorem and representation theorem have a great influence on the realization of the transformation of fuzzy sets and classical sets, and the single-valued neutrosophic multisets (SVNMSs) as the generalization of fuzzy sets, which cut sets, decomposition theorem and representation theorem have the similar effects, so they need to be studied in depth. In this paper, the decomposition theorem, representation theorem and the application of a new similarity measures of SVNMSs are studied by using theoretical analysis and calculations. The following are the main results: (1) The notions, operation and operational properties of the cut sets and strong cut sets of SVNMSs are introduced and discussed; (2) The decomposition theorem and representation theorem of SVNMSs are established and rigorously proved. The decomposition theorem and the representation theorem of SVNMSs are the theoretical basis for the development of SVNMSs. The decomposition theorem provides a new idea for solving the problem of SVNMSs, and points out the direction for the principle of expansion of SVNMSs. (3) Based on the decomposition theorem and representation theorem of SVNMSs, a new notion of similarity measure of SVNMSs is proposed by applying triple integral. And this new similarity is applied to the practical problem of multicriteria decision-making, which explains the efficacy and practicability of this decision-making method. The new similarity is not only a way to solve the problem of multi-attribute decision-making, but also contains an important mathematical idea, that is, the idea of transformation.

scholarly journals Critic-entropy based fuzzy decision making models: a systematic analysis

2021 ◽  
Vol 5 (1) ◽  
Author(s):  
Aldring J ◽  
Ajay D
Keyword(s):  
Decision Making ◽  
Fuzzy Decision Making ◽  
Fuzzy Decision ◽  
Systematic Analysis ◽  
Research Article ◽  
Criteria Weights ◽  
Fuzzy Madm ◽  
Multi Attribute Decision Making ◽  
Ranking Order ◽  
Weighting Methods

This research article presents a comprehensive analysis of weighting methods used in fuzzy multi attribute decision making (MADM) methods. These methods involve various criteria in order to evaluate alternatives and determining the weights of criteria is a significant problem that arises very often in many MADM problems. In this research paper, CRTITIC and Entropy weighting methods have been used for finding criteria’s weights like in many research works. Using these unsupervised methods of assigning criteria weights, seven fuzzy MADM methods are examined in the context of ranking the best company to invest in. From the results of these methods, ranking order of alternatives is obtained and are analysed for reliability.

scholarly journals Model Fuzzy MADM in The Decision Support System of Mustahik Service Program Beneficiaries at Laznas PPPA Daarul Quran Center Tangerang

2020 ◽  
Vol 3 (1) ◽  
pp. 26-37
Author(s):  
Lukman Nulhakim ◽  
Doni Andriansyah ◽  
Firda Devia Putri
Keyword(s):  
Decision Making ◽  
Decision Support ◽  
Decision Support System ◽  
Support System ◽  
Family Income ◽  
Service Program ◽  
Weight Value ◽  
Fuzzy Madm ◽  
Multi Attribute Decision Making ◽  
Simple Additive Weighting

Charity is one of the good deeds taught in Islam. Doing charity is giving out or donating a piece of the property or money to someone else. The amil institution is one of the places where they receive donations and distribute them to those who are entitled. One of the amil institutions is Laznas PPPA Daarul Quran that has a mustahik service program where they must be focused on providing educational, health, venture capital, or other aid to mustahik. The problem we found is that mustahik selection is still conducted by hand, resulting in the lack of accuracy of mustahik. There are eight criteria in determining the mustahik; fardhu prayer, family income, reading Al-Quran, sunnah prayer, social activities, number of loads, residence, and marital status. The purpose of this research is to build a decision support system to facilitate the management and distribution of aid to make it more targeted. The method used in this research is Simple Additive Weighting or SAW with a model Fuzzy Multi-Attribute Decision Making or FMADM. The method is selected because it can choose the best alternative by calculating and weighting the weight value of any criteria, and then proceed to determining the mustahik and giving help based on the number of funds available.

scholarly journals Q-Rung Probabilistic Dual Hesitant Fuzzy Sets and Their Application in Multi-Attribute Decision-Making

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1574
Author(s):  
Li Li ◽  
Hegong Lei ◽  
Jun Wang
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
High Efficiency ◽  
Distance Measure ◽  
Comparison Method ◽  
Hesitant Fuzzy Sets ◽  
Probabilistic Information ◽  
Fuzzy Madm ◽  
Multi Attribute Decision Making ◽  
Multiple Membership

The probabilistic dual hesitant fuzzy sets (PDHFSs), which are able to consider multiple membership and non-membership degrees as well as their probabilistic information, provide decision experts a flexible manner to evaluate attribute values in complicated realistic multi-attribute decision-making (MADM) situations. However, recently developed MADM approaches on the basis of PDHFSs still have a number of shortcomings in both evaluation information expression and attribute values integration. Hence, our aim is to evade these drawbacks by proposing a new decision-making method. To realize this purpose, first of all a new fuzzy information representation manner is introduced, called q-rung probabilistic dual hesitant fuzzy sets (q-RPDHFSs), by capturing the probability of each element in q-rung dual hesitant fuzzy sets. The most attractive character of q-RPDHFSs is that they give decision experts incomparable degree of freedom so that attribute values of each alternative can be appropriately depicted. To make the utilization of q-RPDHFSs more convenient, we continue to introduce basic operational rules, comparison method and distance measure of q-RPDHFSs. When considering to integrate attribute values in q-rung probabilistic dual hesitant fuzzy MADM problems, we propose a series of novel operators based on the power average and Muirhead mean. As displayed in the main text, the new operators exhibit good performance and high efficiency in information fusion process. At last, a new MADM method with q-RPDHFSs and its main steps are demonstrated in detail. Its performance in resolving practical decision-making situations is studied by examples analysis.

scholarly journals FUZZY MULTI-ATRIBUTE DECISION MAKING (FUZZY MADM) DENGAN METODE SAW UNTUK PEMILIHAN MAHASISWA BERPRESTASI

2017 ◽  
Vol 14 (2) ◽  
pp. 82 ◽  
Author(s):  
Bernadus Very Christioko ◽  
Henny Indriyawati ◽  
Nurtriana Hidayati
Keyword(s):  
Decision Making ◽  
Fuzzy Madm ◽  
Multi Attribute Decision Making ◽  
Simple Additive Weighting

Penentuan mahasiswa berprestasi (mawapres) tingkat fakultas terkadang mengalami kendala disaat penilaian kriteria tertentu pada kandidat kurang memenuhi namun di kriteria lain penilaian yang diperoleh melebihi ketentuan, juga apabila data-data atau informasi yang diberikan baik oleh juri maupun data kriteria dari kandidat tidak lengkap atau mengandung ketidakpastian yang mengakibatkan ketidakpastian nilai. Oleh karena itu tujuan dari penelitian ini adalah menerapkan metode Fuzzy untuk mengatasai ketidakpastian data atau informasi dan Multi-Attribute Decision Making (FMADM) dengan metode Simple Additive Weighting (SAW) untuk metode pengambilan keputusan dalam pemilihan mahasiswa berprestasi. Hasil dari penelitian ini adalah penerapan metode FMADM untuk mendukung pengambilan keputusan dalam pemilihan mahasiswa berprestasi tingkat fakultas dengan kandidat yang berasal dari setiap program studi.

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