Jagannath Barooah College

In this article we have introduced the Cartesian product sequence spaces $\ell_{\infty} \times \ell_{\infty} (M,q)$, $c \times c (M,q)$ and $c_0 \times c_0 (M,q)$ related to cone metric space defined by the Orlicz function. We have established different properties like solidity, completeness etc. and also we obtain some inclusion results involving the spaces $\ell_{\infty} \times \ell_{\infty} (M,q)$, $c \times c (M,q)$ and $c_0 \times c_0 (M,q)$.

Cryptographic algorithms are widely used to safeguard data and information over the internet. One of the most efficient technique used for this purpose is the Elliptic Curve Cryptosystem (ECC) which recently gained a lot of interest due to its high performance. It is based upon the hardness of Elliptic Curve Discrete Logarithmic Problem (ECDLP) and till date there is no efficient algorithm that can solve the problem in polynomial time. In this paper an innovative algorithm for ``Menezes-Vanstone Elliptic curve cryptosystem (MVECC)’’ have been proposed to make it more efficient. In comparison to the original algorithm, the proposed algorithm has no inverse operation making it faster and less computationally complex.

In view of developmental activities, remote sensing-based change detection studies to explore LULC in different parts of the world have drawn attention of the scholars. These activities lead to an increase in population and their diverse socio-economic activities foster Landscape transformation. Progress in an area should concomitantly be supported by infrastructure development, of which communication is of immense importance. The different mediums of communication and transport have their own advantage and disadvantages. Roads are considered to be the backbone of accessibility, especially in hilly and remote areas due to their flexibility. However, the construction of completely new roads everywhere is not always possible due to factors related to cost, time, land availability, destruction of nature, etc. That is why, in some places, upgradation of the existing National Highways, State Highways, Trunk Roads, and others are taking place. In Assam, rapid road upgradation projects are continuously being worked out and the present research is a case in study. The study incorporates a geospatial approach where satellite data has been used for the years 2011, 2015, 2019, and 2023. The said developmental activities affect thousands of houses, commercial estates, open spaces, shrublands, forests, and waterbodies; and for some people, these activities are generating ample opportunities. To identify the change, the images have been classified into 6 categories viz., agriculture, bare lands, dense vegetation, plantation, settlements, and waterbodies. It is observed that the highway expansion has led to a continuous record increase in built-up areas from 64.3 in 2011–15 to 35.58

Public transportation frameworks assume a critical role in the metropolitan region, especially in huge urban communities, where they offer a feasible answer for easing gridlock, moderating commotion contamination, and diminishing CO2 discharges. This paper presents some novel Fermatean fuzzy Heronian mean operators based on Archimedean t-norms, specifically the generalized Fermatean fuzzy Archimedean Heronian mean (GFFAHM) and the Fermatean fuzzy Archimedean geometric Heronian mean (FFAGHM). The study investigates different unique instances of these operators while exploring their essential properties. Besides, a powerful multiattribute decision-making (MADM) method is developed using the proposed operators. This approach offers a key asset for handling complex decision-making problems. Overcoming the capabilities of conventional BM operators, the GFFAHM and FFAGHM operators effectively minimize the potential redundancy in interrelationships during the decision-making process. The inclusion of the flexible parameters ρ and ϕ, which have a big impact on the decision-making process’ outcomes, increases the adaptability and resilience of the Archimedean t-based operators. To depict the feasibility of the proposed MADM method, a thorough quantitative model is introduced, outlining its useful execution. Through an exhaustive case study, the predominance of the proposed approach over existing strategies is experimentally established. Remarkably, the study uncovers that reducing fares is the most compelling factor in expanding the public transport framework, subsequently advancing sustainable urban transport. This study’s findings provide useful insights into decision-making processes and practical implications for policymakers, allowing them to make informed and impactful changes to the public transportation system. The proposed MADM method can play a vital role in upgrading the public transport framework, making way for remarkable strategy interventions in urban transport sustainability.

This paper proposes a rectified complex spherical fuzzy set (rCTSFS) model that enables the phase term of a complex number to function truthfully to its inherent meaning of representing directions, phases, or color hues. In addition, this paper proposes the score and accuracy functions for rectified complex spherical fuzzy numbers (rCTSFn), which allows the three types of membership degrees of an rCTSFn to fulfill human judgment/intuition. The proposed rCTSFS model proves to be a productive extension of the complex spherical fuzzy set (CSFS), complex fuzzy set (CFS), and spherical fuzzy set (SFS) models. On the other hand, Dombi t-norms prove more flexible and comprehensive than some of the other families of triangular norms, such as the algebraic t-norms and the Einstein t-norms, due to the presence of a parameter γ. The parameter γ determines the amount of aggressiveness at estimating the maximum and the minimum of a population based on a sample obtained. Therefore, this paper proposes two Dombi-Choquet integral operators, namely, the rectified complex t-spherical fuzzy arithmetic Dombi-Choquet integral (rCTSFAγ,wλ) operator and the rectified complex t-spherical fuzzy geometric Dombi-Choquet integral (rCTSFGγ,wλ) operator. A multi-criteria decision making (abbr. MCDM) algorithm utilizing the two Dombi-Choquet integral operators is innovated. The proposed Dombi-Choquet MCDM algorithm for the rCTSFS model is applied to an MCDM problem related to diabetic retinopathy detection on five real-life fundus images of different severity levels taken from the Messidor2 dataset. Our newly proposed algorithm proves to be the only algorithm that yields the correct diagnostic results that match the hard truth. On the other hand, none of the 50 algorithms observed among recent works in literature can produce the correct diagnostic results, even after lending the fuzzification procedure innovated in this work to them.