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

100%

Biswas A. , Sarkar A.

tom Vol. 28, No. 4

527--549

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.

Comparative cytological studies of naturally grown plants and in vitro grown plants of Gynura procumbens – an important medicinal plant species

80%

Majumder S. , Biswas A. , Rahman M. M.

tom 68

nr 2

Optical solitons in birefringent fibers with parabolic law nonlinearity

80%

Zhou Q. , Zhu Q. , Biswas A.

tom Vol. 44, nr 3

399--409

This paper studies the propagation of optical solitons through birefringent fibers with parabolic law nonlinearity. The Hamiltonian perturbations that are inter-modal dispersion, self-steepening, third-order dispersion and nonlinear dispersions are taken into account. Both, Riccati equation expansion method and Jacobian elliptic equation expansion method are used. Finally, analytical solutions that are Jacobian elliptic periodic traveling wave solutions, periodic solutions, unbounded solutions, singular solutions, bright and dark soliton solutions are obtained under several constraint conditions.

Optical soliton perturbation with log law nonlinearity

71%

Girgis L. , Milovic D. , Hayat T. , Aldossary O. M. , Biswas A.

tom Vol. 42, nr 3

447-454

This paper studies the perturbation theory of optical solitons with log law nonlinearity. The adiabatic dynamics of the Gausson parameters are determined in the presence of the perturbation terms. The fixed point is also found and finally the numerical simulation is carried out.