Decision-making Process Using Hyperstructures and Fuzzy Structures in Social Sciences

Hošková-Mayerová, Šárka; Maturo, Antonio

doi:10.1007/978-3-319-60207-3_7

Cited by 18 publications

(5 citation statements)

References 18 publications

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“…The links between binary (or n-ary) relations or fuzzy relations and algebraic hyperstructures represent currently an important line of research, developed both from a theoretical point of view [24][25][26][27] and also for the applications in social science [28], code theory [29], graph theory [30], automata theory [22,31], etc. In this article, motivated by the special interdependencies existing between the variables used for the weather forecasting, we introduced a new type of relation, called dependence relations, and started the study of their algebraic properties.…”

Section: Discussionmentioning

confidence: 99%

Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures

2019

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The aim of this paper is to study, from an algebraic point of view, the properties of interdependencies between sets of elements (i.e., pieces of secrets, atmospheric variables, etc.) that appear in various natural models, by using the algebraic hyperstructure theory. Starting from specific examples, we first define the relation of dependence and study its properties, and then, we construct various hyperoperations based on this relation. We prove that two of the associated hypergroupoids are H v -groups, while the other two are, in some particular cases, only partial hypergroupoids. Besides, the extensivity and idempotence property are studied and related to the cyclicity. The second goal of our paper is to provide a new interpretation of the dependence relation by using elements of the theory of algebraic hyperstructures.

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Section: Discussionmentioning

confidence: 99%

Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures

2019

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“…In decision-making, it is important to highlight the work of fuzzy logic in approximating complex assignments when the data set is to be decided upon, and the decision rules need to be clarified [35]. In addition to the examples mentioned earlier and the referenced handbook that evaluates the role of fuzzy logic in the field of decision-making, all of the above is reinforced due to the strong links in the field of medical sciences [36,37] and widely referenced fields such as engineering [38]or social sciences [39], specifically within business development [40].…”

Section: Fuzzy Systems For Decision Makingmentioning

confidence: 99%

Fuzzy Logic to Measure the Degree of Compliance with a Target in an SDG—The Case of SDG 11

Parra-Domínguez

Alonso-García²,

Corchado

2023

Mathematics

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Sustainable development and its significant challenges motivate various international organisations in a way that has never been seen before. With Europe at the forefront, countries such as the United States want to be included in the progress and what a clear and determined commitment to sustainability means for future generations. Our study aimed to go deeper into the follow-up and monitoring of the development of reliable indicators that make the continuous improvement process in sustainability robust. To this end, and using the fuzzy logic methodology, we applied it to one of the indices that have been developed to date, the “Sustainable Development Report” (in its 2022 edition), working on the specific application of SDG 11. Our results show favourable positions for countries such as Brunei Darussalam, Tonga, Tuvalu, Andorra, and the Netherlands and provide robustness when there is a lack of data quality and improvements in the implementation of the process when experts intervene.

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“…Later, Kaur & Garg [8] developed generalized aggregation operators with the cubic IF set information using the t-norm operations. Aside from them, different scholars (Garg & Arora [9]; Garg & Rani [10]; Shen & Wang [11]; Peng, & Wang [12]; Hoskova & Maturo [13]; Collan & Kacprzyk [14]) incorporated the idea of aggregation process in different applications and also given their related decision-making algorithm with the IF set and their expansion.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Robot Selection Based on 2-Tuple Picture Fuzzy Linguistic Aggregation Operators

et al. 2019

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The aim of this article is to propose the 2-tuple picture fuzzy linguistic aggregation operators and a decision-making model to deal with uncertainties in the form of 2-tuple picture fuzzy linguistic sets; 2-tuple picture fuzzy linguistic operators have more flexibility than general fuzzy set. We proposed a number of aggregation operators, namely, 2-TPFLWA, 2-TPFLOWA, 2-TPFLHA, 2-TPFLWG, 2-TPFLOWG, and 2-TPFLHG operators. The distinguished feature of the developed operators are studied. At that point, we used these operators to design a model to deal with multiple attribute decision-making issues under the 2-tuple picture fuzzy linguistic information. Then, a practical application of robot selection by manufacturing unit is given to prove the introduced technique and to show its practicability and effectiveness. Besides this, a systematic comparison analysis with other existent approaches is conducted to reveal the advantage of our developed method. Results indicate that the proposed method is suitable and effective for decision-making problems.

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Decision-making Process Using Hyperstructures and Fuzzy Structures in Social Sciences

Cited by 18 publications

References 18 publications

Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures

Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures

Fuzzy Logic to Measure the Degree of Compliance with a Target in an SDG—The Case of SDG 11

Analysis of Robot Selection Based on 2-Tuple Picture Fuzzy Linguistic Aggregation Operators

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