A study of quadratic Diophantine fuzzy sets with structural properties and their application in face mask detection during COVID-19

During the COVID-19 pandemic, identifying face masks with artificial intelligence was a crucial challenge for decision support systems. To address this challenge, we propose a quadratic Diophantine fuzzy decision-making model to rank artificial intelligence techniques for detecting masks, aiming to prevent the global spread of the disease. Our paper introduces the innovative concept of quadratic Diophantine fuzzy sets (QDFSs), which are advanced tools for modeling the uncertainty inherent in a given phenomenon. We investigate the structural properties of QDFSs and demonstrate that they generalize various fuzzy sets. In addition, we introduce essential algebraic operations, set-theoretical operations, and aggregation operators. Finally, we present a numerical case study that applies our proposed algorithms to select a unique face mask detection method and evaluate the effectiveness of our techniques. Our findings demonstrate the viability of our mask identification methodology during the COVID-19 outbreak

Decision Making Based on the Aggregation Operator and the Intuitionistic Fuzzy Reduction Method of Intuitionistic Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets

In this paper, we introduce the aggregation operator of IFPIFS set and apply this operator in a hypothetical decision making problem involving attributes and parameters that are subjective in nature. Specifically, this operator is applied in a decision making problem involving the selection of the best candidate for a vacant position in an organization. Next, we introduce an algorithm called the intuitionistic fuzzy (IF) reduction method which involves the reduction of the original IFPIFS set into an IF set and subsequently a fuzzy set which would then be used to determine the optimal solution for the problem. We demonstrate the application of this algorithm in an object recognition problem which involves subjective and uncertain data.

Notas sobre N-soft sets – Definiciones

[ES]Muchos problemas en los campos de la economía, la informática, la medicina, el medio ambiente y otras ciencias conllevan incertidumbre, imprecisión o subjetividad. Introducida por Molodtsov, la teoría de los soft sets ha demostrado su aplicabilidad a diversos campos. Fatimah et al. proponen el modelo de soft sets ampliado que denominan N-soft sets. Debido a la importancia de las calificaciones en situaciones del mundo real, los N-soft sets introducen descripciones parametrizadas del universo de opciones que dependen de un nu ́mero finito de calificaciones

Multi-objective fully intuitionistic fuzzy fixed-charge solid transportation problem

During past few decades, fuzzy decision is an important attention in the areas of science, engineering, economic system, business, etc. To solve day-to-day problem, researchers use fuzzy data in transportation problem for presenting the uncontrollable factors; and most of multi-objective transportation problems are solved using goal programming. However, when the problem contains interval-valued data, then the obtained solution was provided by goal programming may not satisfy by all decision-makers. In such condition, we consider a fixed-charge solid transportation problem in multi-objective environment where all the data are intuitionistic fuzzy numbers with membership and non-membership function. The intuitionistic fuzzy transportation problem transforms into interval-valued problem using (α, β)-cut, and thereafter, it reduces into a deterministic problem using accuracy function. Also the optimum value of alternative corresponds to the optimum value of accuracy function. A numerical example is included to illustrate the usefulness of our proposed model. Finally, conclusions and future works with the study are described.Portuguese Foundation for Science and Technology ("FCT-Fundacao para a Ciencia e a Tecnologia"), through the CIDMA-Center for Research and Development in Mathematics and Applications UID/MAT/ 04106/2019Spanish Ministry of Economy and Competitiveness, FEDER funds from the European Union TIN2014-55024-P TIN2017-86647-

B-spline curve interpolation model by using intuitionistic fuzzy approach

In this paper, B-spline curve interpolation model by using intuitionistic fuzzy set approach is introduced. Firstly, intuitionistic fuzzy control point relation is defined based on the intuitionistic fuzzy concept. Later, the intuitionistic fuzzy control point relation is blended with B-spline basis function. Through interpolation method, intuitionistic fuzzy B-spline curve model is visualized. Finally, some numerical examples and an algorithm to generate the desired curve is shown

B-spline curve interpolation model by using intuitionistic fuzzy approach

In this paper, B-spline curve interpolation model by using intuitionistic fuzzy set approach is introduced. Firstly, intuitionistic fuzzy control point relation is defined based on the intuitionistic fuzzy concept. Later, the intuitionistic fuzzy control point relation is blended with B-spline basis function. Through interpolation method, intuitionistic fuzzy B-spline curve model is visualized. Finally, some numerical examples and an algorithm to generate the desired curve is shown