University of Oradea

This paper investigates the analytical fuzzy findings of a two-dimensional fuzzy fractional-ordered heat problem including some source of terms under certain conditions. The Sumudu residual power series scheme (SRPSS) is an innovative novel to deal with the combine form of the Sumudu transform (ST) and the residual power series scheme (RPSS) which efficiently generate analytical results in rapidly converging series forms. The Caputo derivative is applied to model the physical problem. The most notable aspect of this algorithm is its ability to generate results quickly and without difficulty as compared to the conventional RPSS. We present three numerical cases of 2D heat problem with fuzzy fractional order to express the performance and validity of suggested scheme. Graphical analysis from the derived solutions reveals that SRPSS is straightforward, accurate, and suitable to analyze the findings of fuzzy fractional problems.

Jinxing Liu; Muhammad Nadeem; Ali Hasan Ali; Fawziah M. Alotaibi; Loredana Florentina Iambor. Analytical investigation of two-dimensional fuzzy fractional heat problem using a modified approach. Alexandria Engineering Journal 2024, 108, 158 -168.

Jinxing Liu, Muhammad Nadeem, Ali Hasan Ali, Fawziah M. Alotaibi, Loredana Florentina Iambor. Analytical investigation of two-dimensional fuzzy fractional heat problem using a modified approach. Alexandria Engineering Journal. 2024; 108 ():158-168.

Jinxing Liu; Muhammad Nadeem; Ali Hasan Ali; Fawziah M. Alotaibi; Loredana Florentina Iambor. 2024. "Analytical investigation of two-dimensional fuzzy fractional heat problem using a modified approach." Alexandria Engineering Journal 108, no. : 158-168.

Third-order fuzzy differential subordination studies were recently initiated by developing the main concepts necessary for obtaining new results on this topic. The present paper introduces the dual concept of third-order fuzzy differential superordination by building on the known results that are valid for second-order fuzzy differential superordination. The outcome of this study offers necessary and sufficient conditions for determining subordinants of a third-order fuzzy differential superordination and, furthermore, for finding the best subordinant for such fuzzy differential superordiantion, when it can be obtained. An example to suggest further uses of the new outcome reported in this work is enclosed to conclude this study.

Georgia Irina Oros; Simona Dzitac; Daniela Andrada Bardac-Vlada. Introducing the Third-Order Fuzzy Superordination Concept and Related Results. Mathematics 2024, 12, 3095 .

Georgia Irina Oros, Simona Dzitac, Daniela Andrada Bardac-Vlada. Introducing the Third-Order Fuzzy Superordination Concept and Related Results. Mathematics. 2024; 12 (19):3095.

Georgia Irina Oros; Simona Dzitac; Daniela Andrada Bardac-Vlada. 2024. "Introducing the Third-Order Fuzzy Superordination Concept and Related Results." Mathematics 12, no. 19: 3095.

Determining the importance of major antecedents of open innovation between such distinct partners as industry and universities influences the decision-making regarding resources and effort allocation to their improvement, according to the strategic objectives of the firms. For this purpose, the present paper proposes an approach for conducting their importance-performance analysis based on fuzzy set theory and neural networks. Considering a hierarchical component model that integrates the components of the major antecedents, this study advances a research framework that first involves the operationalization of the collected data as fuzzy numbers. Then, the SHapley Additive exPlanation-based method estimates the derived importance of each component in the hierarchical component model using an optimal two-layers back-propagation network. Finally, a nine quadrants division of the importance-performance analysis developed on the basis of relevance and determinance measures of the analyzed antecedent components, delineates the prioritization of their potential improvements. A case study aims to demonstrate the developed research framework, illustrating its effectiveness and flexibility in decision-making related to the improvement of such antecedents.

Marius Băban; Călin-Florin Băban. Addressing antecedents’ importance of open innovation between industry and universities: A neural network-based importance-performance analysis with a fuzzy approach. Alexandria Engineering Journal 2024, 104, 515 -528.

Marius Băban, Călin-Florin Băban. Addressing antecedents’ importance of open innovation between industry and universities: A neural network-based importance-performance analysis with a fuzzy approach. Alexandria Engineering Journal. 2024; 104 ():515-528.

Marius Băban; Călin-Florin Băban. 2024. "Addressing antecedents’ importance of open innovation between industry and universities: A neural network-based importance-performance analysis with a fuzzy approach." Alexandria Engineering Journal 104, no. : 515-528.