http://localhost:80/xmlui/handle/123456789/38 2026-05-08T17:48:33Z 2026-05-08T17:48:33Z Roy, Biswajit http://localhost:80/xmlui/handle/123456789/334 2024-11-13T09:38:50Z 2024-05-12T00:00:00Z

Title: A carbon sensitive transport-based deteriorating supply chain model under type-2 fuzzy bi-matrix game Authors: Roy, Biswajit Abstract: The sustainable use and disposal of carbon materials without affecting the profit (gain) of an industry is an important task of the policy makers recent times. The present study deals with a vendor–buyer inventory model for deteriorating and imperfect quality items considering the carbon emissions under different environments, namely general fuzzy and triangular interval type-2 fuzzy environments. In fact, we develop a vendor-buyer inventory model under a fuzzy bi-matrix game approach and construct a joint payoff function along with a joint effective emission cost function. Carbon emission is related to the fuel consumption during transportation, disposal of the deteriorating items and warehouse energy consumption per unit item. The notion of this study is to optimize the total average inventory cost along with the amount of carbon emission cost under flexible demand rate and uncertain cost parameters. Basically, we have developed a new optimization problem incorporating vendor–buyer’s objective function with carbon emission based on the expected payoff function of the bi-matrix game. Numerical findings reveal that a type-2 fuzzy system could be able to optimize the average inventory cost as well as total emission cost all the time. Finally, sensitivity analysis graphical illustrations are made to validate the model.

2024-05-12T00:00:00Z Banerjee, Abhijit http://localhost:80/xmlui/handle/123456789/333 2024-11-13T10:18:21Z 2019-06-05T00:00:00Z

Title: Bicomplex Modules with Indefinite Inner Product Authors: Banerjee, Abhijit Abstract: In this article we provide a systematic investigation of bicomplex indefinite inner product modules. Based on the partial ordering defined on the set of hyperbolic numbers, we classify the elements of the modules into positive, negative and neutral types. Our study includes the orthogonality, isotropic elements, maximal non-degenerate submodule, maximal semi definite submodule and ortho-complemented submodules of bicomplex inner product modules. We then decompose such a module fundamentally into a positive definite, a negative definite and a neutral submodules that ensures the existence of a fundamental symmetry associated with a positive definite inner product for non-degenerate case.

2019-06-05T00:00:00Z