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Development of dual hesitant fuzzy prioritized operators based on Einstein operations with their application to multi-criteria group decision making

Animesh Biswas Arun Sarkar
Archives of Control Sciences | 2018 | vol. 28 | No 4 | 527–549 | DOI: 10.24425/acs.2018.125482
Keywords multi-criteria group decision-making aggregation operator dual hesitant fuzzy numbers Einstein operations prioritized weighted averaging operator prioritized weighted geometric operator
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Abstract

The purpose of this article is to develop a multicriteria group decision making (MCGDM) method in dual hesitant fuzzy (DHF) environment by evaluating the weights of the decision makers from the decision matrices using two newly defined prioritized aggregation operators based on score function to remove the inconsistencies in choosing the best alternative. Prioritized weighted averaging operator and prioritized weighted geometric operator based on Einstein operations are described first for aggregating DHF information. Some of their desirable properties are also investigated in details. A method for finding the rank of alternatives in MCGDM problems with DHF information based on priority levels of decision makers is developed. An illustrative example concerning MCGDM problem is considered to establish the application potentiality of the proposed approach. The method is efficient enough to solve different real life MCGDM problems having DHF information.

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Authors and Affiliations

Animesh Biswas
Arun Sarkar

Interval-valued dual hesitant fuzzy prioritized aggregation operators based on Archimedean t-conorm and t-norm and their applications to multi-criteria decision making

Arun Sarkar Animesh Biswas
Archives of Control Sciences | 2021 | vol. 31 | No 1 | 213-247 | DOI: 10.24425/acs.2021.136887
Keywords multi-criteria decision-making interval-valued dual hesitant fuzzy elements Archimedean t-conorm and t-norm prioritized weighted averaging operator prioritized weighted geometric operator
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Abstract

Multi-criteria decision making (MCDM) technique and approach have been a trending topic in decision making and systems engineering to choosing the probable optimal options. The primary purpose of this article is to develop prioritized operators to multi-criteria decision making (MCDM) based on Archimedean t-conorm and t-norms (At-CN&t-Ns) under interval-valued dual hesitant fuzzy (IVDHF) environment. A new score function is defined for finding the rank of alternatives in MCDM problems with IVDHF information based on priority levels of criteria imposed by the decision maker. This paper introduces two aggregation operators: At-CN&t-N-based IVDHF prioritized weighted averaging (AIVDHFPWA), and weighted geometric (AIVDHFPWG) aggregation operators. Some of their desirable properties are also investigated in details. A methodology for prioritization-based MCDM is derived under IVDHF information. An illustrative example concerning MCDM problem about a Chinese university for appointing outstanding oversea teachers to strengthen academic education is considered. The method is also applicable for solving other real-life MCDM problems having IVDHF information.
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Authors and Affiliations

Arun Sarkar
1
Animesh Biswas
2
  1. Department of Mathematics, Heramba Chandra College, Kolkata – 700029, India
  2. Department of Mathematics, University of Kalyani, Kalyani – 741235, India

An Investigation on Divorced Eutectoid Growth of Cementite in Eutectoid Steel

Prasenjit Biswas Joydeep Maity
Archives of Metallurgy and Materials | 2020 | vol. 65 | No 3 | 1171-1176 | DOI: 10.24425/amm.2020.133235
Keywords AISI 1080 steel incomplete austenitization cementite divorced eutectoid growth analytical model
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Abstract

Divorced eutectoid growth of cementite in AISI 1080 steel is investigated as a function of cooling rate for incomplete austenitization-based heat treatment. Furthermore, a fundamental mathematical relationship is established through analytical treatment that correlates divorced eutectoid growth with effective cooling rate and degree of undercooling in view of bulk diffusion controlled growth model. As the cooling rate increases, the divorced eutectoid growth of cementite is gradually ceased. The result predicted by the analytical model closely matches with the experimental result (%Deviation ≤ 7).

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Authors and Affiliations

Prasenjit Biswas
Joydeep Maity

An improved ID-based client authentication with key agreement scheme on ECC for mobile client-server environments

Islam S.K. Hafizul G.P. Biswas
Theoretical and Applied Informatics | 2012 | vol. 24 | No 4
Keywords elliptic curve cryptography identity-based cryptosystem mutual authentication session key users’ anonymity client-server environment
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Abstract

In wireless mobile networks, a client can move between different locations while staying connected to the network and access the remote server over the mobile networks by using their mobile de- vices at anytime and anywhere. However, the wireless network is more prone to some security attacks, as it does not have the ingrained physical security like wired networks. Thus, the client authentication is required while accessing the remote server through wireless network. Based on elliptic curve cryptosystem (ECC) and identity-based cryptography (IBC), Debiao et al. proposed an ID-based client authentication with key agreement scheme to reduce the computation and communication loads on the mobile devices. The scheme is suitable for mobile client-server environments, is secure against different attacks and provides mutual authentication with session key agreement between a client and the remote server as they claimed. Unfotunately, this paper demonstrates that Debiao et al.’s scheme is vulnerable some cryptographic attacks, and proposed an improved ID-based client authentication with key agreement scheme using ECC. The proposed scheme is secure based on Elliptic Curve Discrete Logarithm Problem (ECDLP) and Computational Diffie-Helmann Problem (CDHP). The detail analysis shows that our scheme overcomes the drawbacks of Debiao et al.’s scheme and achieves more functionality for the client authentication with lesser computational cost than other schemes.
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Authors and Affiliations

Islam S.K. Hafizul
G.P. Biswas

An Efficient and Provably-secure Digital signature Scheme based on Elliptic Curve Bilinear Pairings

Hafizul Islam Sk G.P. Biswas
Theoretical and Applied Informatics | 2012 | vol. 24 | No 2
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Authors and Affiliations

Hafizul Islam Sk
G.P. Biswas

Linguistic q-rung orthopair fuzzy prioritized aggregation operators based on Hamacher t-norm and t-conorm and their applications to multicriteria group decision making

Nayana Deb Arun Sarkar Animesh Biswas
Archives of Control Sciences | 2022 | vol. 32 | No 2 | 451-484 | DOI: 10.24425/acs.2022.141720
Keywords linguistic q-rung orthopair fuzzy set multicriteria group decision making Hamacher operations prioritized aggregation operator
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Abstract

The linguistic q-rung orthopair fuzzy (L q-ROF) set is an important implement in the research area in modelling vague decision information by incorporating the advantages of q- rung orthopair fuzzy sets and linguistic variables. This paper aims to investigate the multicriteria decision group decision making (MCGDM) with L q-ROF information. To do this, utilizing Hamacher t-norm and t-conorm, some L q-ROF prioritized aggregation operators viz., L q- ROF Hamacher prioritized weighted averaging, and L q-ROF Hamacher prioritized weighted geometric operators are developed in this paper. The defined operators can effectively deal with different priority levels of attributes involved in the decision making processes. In addition, Hamacher parameters incorporated with the proposed operators make the information fusion process more flexible. Some prominent characteristics of the developed operators are also wellproven. Then based on the proposed aggregation operators, an MCGDM model with L q-ROF context is framed. A numerical example is illustrated in accordance with the developed model to verify its rationality and applicability. The impacts of Hamacher and rung parameters on the achieved decision results are also analyzed in detail. Afterwards, a comparative study with other representative methods is presented in order to reflect the validity and superiority of the proposed approach.
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Authors and Affiliations

Nayana Deb
1
Arun Sarkar
2
Animesh Biswas
1
  1. Department of Mathematics, University of Kalyani, Kalyani – 741235, India
  2. Department of Mathematics, Heramba Chandra College, Kolkata – 700029, India

Effect of Microstructural Morphology on Microscale Deformation Behavior of Al-4.5Cu-2Mg Alloy

A. Biswas R. Bhandari M. Kumar Mondal D. Mandal
Archives of Metallurgy and Materials | 2018 | vol. 63 | No 4 | 1575-1586 | DOI: 10.24425/amm.2018.125080
Keywords Al-4.5Cu-2Mg Alloys Optical Microstructure Representative Volume Element (RVE) Finite Element Method Microscale deformation
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Abstract

The microscale deformation behaviour of the Al-4.5Cu-2Mg alloy has been studied to understand the influence of various processing routes and conditions, i.e. the gravity casting with and without grain refiner, the rheocast process and the strain induced melt activation (SIMA) process. The micromechanics based simulations have been carried out on the optical microstructures of the alloy by 2D representative volume elements (RVEs) employing two different boundary conditions. Microstructural morphology, such as the grain size, the shape and the volume fraction of α-Al and binary eutectic phases have a significant effect on the stress and strain distribution and the plastic strain localization of the alloy. It is found that the stress and strain distribution became more uniform with increasing the globularity of the α-Al grain and the α-Al phase volume fraction. The simulated RVEs also reveals that the eutectic phase carries more load, but least ductility with respect to the α-Al phase. The SIMA processed alloy contains more uniform stress distribution with less stress localization which ensures better mechanical property than the gravity cast, grain refined and rheocast alloy.

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Authors and Affiliations

A. Biswas
R. Bhandari
M. Kumar Mondal
D. Mandal

Integrated Access and Backhaul based 5G Connectivity for Rural Indian Sectors– Ending the Digital Divide

Ardhendu Shekhar Biswas Sanjib Sil Rabindranath Bera Monojit Mitra
International Journal of Electronics and Telecommunications | 2021 | vol. 67 | No 4 | 655-663 | DOI: 10.24425/ijet.2021.137859
Keywords Carrier aggregation (CA) component carrier (CC) 5G New Radio (NR) Integrated Access and Backhaul (IAB)
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Abstract

The world is heading towards deployment of 5G commercially by the year 2020. But providing broadband 5G connectivity to remote rural regions is a significant challenge. Fiber connectivity has attempted to penetrate rural regions but last mile connectivity is still a problem in many rural sectors due to improper land demarcation and hostile terrain. A scheme which is based on the Integrated Access and Backhaul (IAB) concept is proposed to provide last mile 5G connectivity to satisfy the broadband needs of rural subscribers. A wireless 5G downlink environment following 3GPP NR specifications with a significantly high throughput is simulated. The last mile link is provided through a 28GHz carrier from a proposed IAB node delivering a data throughput of 4.301 Gbps for singleuser carrier aggregation and 5.733 Gbps for multi-user carrier aggregation which is quite promising for broadband service, like high-speed Internet and streaming video. The results presented in this work are observed to agree favourably with the results of other researchers in the field.
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Bibliography

[1] 3GPP TR 21.916V0.5.0(2020-07), Summary of Rel-16 Work Items
[2] Henrik Ronkainen, Jonas Edstam, Anders Ericsson, Christer O¨ stberg, ”Integrated access and backhaul – a new type of wireless backhaul in 5G”, Ericsson Technology Review June 23, 2020. ISSN 0014-0171 284 23-3346 — Uen.
[3] Biswas, A. S., Sil, S., Bera, R., and Mitra, M., ”5G Based Broadband Last Mile Connectivity for Rural Sectors”, International Conference on Emerging Technologies for Sustainable Development (ICETSD’19) Proceedings, GCELT Kolkata, 2019.
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[11] R. M. Rao, V. Marojevic and J. H. Reed, ”Adaptive Pilot Patterns for CA-OFDM Systems in Nonstationary Wireless Channels,” in IEEE Transactions on Vehicular Technology, vol. 67, no. 2, pp. 1231-1244, Feb. 2018, https://doi.org/10.1109/TVT.2017.2751548.
[12] R. Khdhir, B. Cousin, K. Mnif and K. Ben Ali, ”Neural network approach for component carrier selection in 4G/5G networks,” 2018 Fifth International Conference on Software Defined Systems (SDS), Barcelona, 2018, pp. 112-117, https://doi.org/10.1109/SDS.2018.8370431.
[13] K. Tateishi et al., ”Field experiments on 5G radio access using 15-GHz band in outdoor small cell environment,” 2015 IEEE 26th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC), Hong Kong, 2015, pp. 851-855, https://doi.org/10.1109/PIMRC.2015.7343416.
[14] Z. Shi and Y.Wang, ”Joint DFT-s-OFDM scheme for non-contiguous carriers transmission,” 2017 IEEE/CIC International Conference on Communications in China (ICCC), Qingdao, 2017, pp. 1-6, https://doi.org/10.1109/ICCChina.2017.8330481.
[15] M. Bi, W. Jia, L. Li, X. Miao and W. Hu, ”Investigation of F-OFDM in 5G fronthaul networks for seamless carrier-aggregation and asynchronous transmission,” 2017 Optical Fiber Communications Conference and Exhibition (OFC), Los Angeles, CA, 2017, pp. 1-3.
[16] S. Rostami, K. Arshad and P. Rapajic, ”A joint resource allocation and link adaptation algorithm with carrier aggregation for 5G LTE-Advanced network,” 2015 22nd International Conference on Telecommunications (ICT), Sydney, NSW, 2015, pp. 102-106, https://doi.org/10.1109/ICT.2015.7124665.
[17] 3GPP TS 38.211 version 15.3.0 Release 15, 2018-10, Physical channels and modulation.
[18] 3GPP TS 38.104 version 15.2.0 Release 15, 2018-07, Base Station (BS) radio transmission and reception.
[19] 3GPP TR 38.901 v15.0.0, 2018-06, Study on channel model for frequencies from 0.5 to 100 GHz.
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Authors and Affiliations

Ardhendu Shekhar Biswas
1
Sanjib Sil
2
Rabindranath Bera
3
Monojit Mitra
4
  1. Department of Electronics and Communication Engineering, Techno International New Town, Kolkata - 700156, India
  2. Department of Electronics and Communication Engineering, Calcutta Institute of Engineering and Management, Kolkata -700040, India
  3. Department of Electronics Communication Engineering, Sikkim Manipal Institute of Technology, Sikkim, India
  4. Department of Electronics and Telecommunication Engineering, IIEST Shibpur, Howrah, India

On optimal control problem subject to fractional order discrete time singular systems

Tirumalasetty Chiranjeevi Raj Kumar Biswas Ramesh Devarapalli Naladi Ram Babu Fausto Pedro García Márquez
Archives of Control Sciences | 2021 | vol. 31 | No 4 | 849-863 | DOI: 10.24425/acs.2021.139733
Keywords fractional optimal control problem discrete time singular system fractional derivative Hamiltonian technique
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Abstract

In this work, we present optimal control formulation and numerical algorithm for fractional order discrete time singular system (DTSS) for fixed terminal state and fixed terminal time endpoint condition. The performance index (PI) is in quadratic form, and the system dynamics is in the sense of Riemann-Liouville fractional derivative (RLFD). A coordinate transformation is used to convert the fractional-order DTSS into its equivalent non-singular form, and then the optimal control problem (OCP) is formulated. The Hamiltonian technique is used to derive the necessary conditions. A solution algorithm is presented for solving the OCP. To validate the formulation and the solution algorithm, an example for fixed terminal state and fixed terminal time case is presented.
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Bibliography

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[20] T. Chiranjeevi, R.K. Biswas, and N.R. Babu: Effect of initialization on optimal control problem of fractional order discrete-time system. Journal of Interdisciplinary Mathematics, 23(1), (2020), 293–302, DOI: 10.1080/09720502.2020.1721924.
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Authors and Affiliations

Tirumalasetty Chiranjeevi
1
Raj Kumar Biswas
2
Ramesh Devarapalli
3
ORCID: ORCID
Naladi Ram Babu
2
Fausto Pedro García Márquez
4
  1. Department of Electrical Engineering, Rajkiya Engineering College Sonbhadra, U. P., India
  2. Department of Electrical Engineering, National Institute of Technology, Silchar, India
  3. Department of Electrical Engineering, BIT Sindri, Dhanbad 828123, Jharkhand, India
  4. Ingenium Research Group, University of Castilla-La Mancha, Spain

Evaluation of Foundry Properties of Brahmaputra River Sand and its Prospects

Md. Shohel Rana Md. Shams Shahriar Md. Sha Alam Md. Imam Sohel Hossain Pradip Kumar Biswas Mohammad Nazim Zaman
Archives of Foundry Engineering | 2023 | vol. 23 | No 2 | 80-90 | DOI: 10.24425/afe.2023.144299
Keywords Foundry properties Grain fineness number Green strength Metal casting River sand
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Abstract

The river system of the Bengal delta encompasses a huge amount of fluvial sand; however, no comprehensive studies were available on using this river sand in foundry industries. Hence, the present research evaluates the foundry properties of trans-boundary Brahmaputra River sand and its prospects for use in foundries. Several laboratory analyses have been performed to elicit the foundry properties using standard methods of foundry analysis, including XRD, XRF, TG-DSC, and FESEM. From the study, the sand contains mainly quartz with small amounts of feldspar, amphibole, chlorite, and mica, and exhibits a subangular to subrounded shape. The sand is dominated by SiO2 (67.81–69.97%) and lesser amounts of other oxides, and it is thermally stable within 1000 °C temperature. The grain fineness number (64–79), mineralogical, chemical, thermal, and foundry properties are suitable for non-ferrous metal casting without distortion. Further, the aluminum and zinc alloy casting with trials demonstrate their potential for use in the foundry industries. The outcomes of this study thus offer valuable information about utilizing Brahmaputra River sand for foundry applications.
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Authors and Affiliations

Md. Shohel Rana
1
ORCID: ORCID
Md. Shams Shahriar
1
ORCID: ORCID
Md. Sha Alam
1
ORCID: ORCID
Md. Imam Sohel Hossain
1
ORCID: ORCID
Pradip Kumar Biswas
1
ORCID: ORCID
Mohammad Nazim Zaman
1
ORCID: ORCID
  1. Institute of Mining, Mineralogy and Metallurgy (IMMM), Bangladesh Council of Scientific and Industrial Research (BCSIR), Joypurhat 5900, Bangladesh

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