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Cylindrical neutrosophic single-valued number and its application in networking problem, multi-criterion group decision-making problem and graph theory

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CAAI Transactions on Intelligence Technology 2020年第2期5卷 68-77页

作者： Avishek Chakraborty Sankar Prasad Mondal Shariful Alam Animesh Mahata Department of Basic Science Narula Institute of TechnologyAgarparaKolkata-700109India Department of Mathematics Indian Institute of Engineering Science and TechnologyShibpurHowrah-711103India Department of Applied Science Maulana Abul Kalam Azad University of TechnologyWest BengalHaringhataNadiaWest BengalIndia mahadevnagar high school MaheshtalaKolkata700141West BengalIndia

In this study,the authors envisage the neutrosophic number from various distinct rational perspectives and viewpoints to give it a look of a *** focused and analysed neutrosophic fuzzy numbers when indeterminacy and falsity functions are dependent on each other,which serves an indispensable role for the uncertainty ***,the idea of cylindrical neutrosophic single-valued number is focused here,when the indeterminacy and falsity functions are dependent to each other using an influx of different logical and innovative graphical *** also developed the score and accuracy function for this particular cylindrical neutrosophic single-valued number and analysed some real-life problems like networking critical path model problem and minimal spanning tree problem of operation research field when the numbers are in cylindrical neutrosophic *** also introduced a multi-criterion group decision-making problem in this cylindrical neutrosophic *** noble thought will help us to solve a plethora of daily life problems in the neutrosophic arena.

关键词： valued cylindrical criterion

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Study of Fractional Order Tri-Tropic Prey-Predator Model with Fear Effect on Prey Population

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Advances in Pure Mathematics 2022年第11期12卷 652-675页

作者： Subrata Paul Animesh Mahata Supriya Mukherjee Prakash Chandra Mali Banamali Roy Department of Mathematics Arambagh Government Polytechnic Arambagh India mahadevnagar high school Maheshtala Kolkata India Department of Mathematics Gurudas College Narkeldanga Kolkata India Department of Mathematics Jadavpur University Kolkata India Department of Mathematics Bangabasi Evening College Kolkata India

In this manuscript, we have studied a fractional-order tri-trophic model with the help of Caputo operator. The total population is divided into three parts, namely prey, intermediate predator and top predator. In addition, the predator fear impact on prey population is suggested in this paper. Existence and uniqueness along with non-negativity and boundedness of the model system have been investigated. We have studied the local stability at all equilibrium points. Also, we have discussed global stability and Hopf bifurcation of our suggested model at interior equilibrium point. The Adam-Bashforth-Moulton approach is utilized to approximate the solution to the proposed model. With the help of MATLAB, we were able to conduct graphical demonstrations and numerical simulations.

关键词： Prey-Predator Model Stability Fear Effect Hopf Bifurcation

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