A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number PDF Download
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Author: Hamiden Abd El-Wahed Khalifa Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 13
Book Description
Assignment problem (AP) is well- studied and important area in optimization. In this research manuscript, an assignment problem in neutrosophic environment, called as neutrosophic assignment problem (NAP), is introduced. The problem is proposed by using the interval-valued trapezoidal neutrosophic numbers in the elements of cost matrix. As per the concept of score function, the interval-valued trapezoidal neutrosophic assignment problem (IVTNAP) is transformed to the corresponding an interval-valued AP. To optimize the objective function in interval form, we use the order relations. These relations are the representations of choices of decision maker. The maximization (or minimization) model with objective function in interval form is changed to multi- objective based on order relations introduced by the decision makers' preference in case of interval profits (or costs). In the last, we solve a numerical example to support the proposed solution methodology.
Author: Hamiden Abd El-Wahed Khalifa Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 13
Book Description
Assignment problem (AP) is well- studied and important area in optimization. In this research manuscript, an assignment problem in neutrosophic environment, called as neutrosophic assignment problem (NAP), is introduced. The problem is proposed by using the interval-valued trapezoidal neutrosophic numbers in the elements of cost matrix. As per the concept of score function, the interval-valued trapezoidal neutrosophic assignment problem (IVTNAP) is transformed to the corresponding an interval-valued AP. To optimize the objective function in interval form, we use the order relations. These relations are the representations of choices of decision maker. The maximization (or minimization) model with objective function in interval form is changed to multi- objective based on order relations introduced by the decision makers' preference in case of interval profits (or costs). In the last, we solve a numerical example to support the proposed solution methodology.
Author: Hamiden Khalifa Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 9
Book Description
This paper aims to study the multi-objective assignment problem with emphasis on imprecise costs rather than price information. The NMOAS problem is considered by adding single-valued trapezoidal neutrosophic numbers to the elements of cost matrices.
Author: Florentin Smarandache Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 410
Book Description
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles in this issue: n-Refined Neutrosophic Modules, A Neutrosophic Approach to Digital Images, A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number.
Author: Florentin Smarandache Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 410
Book Description
Neutrosophic Sets and Systems (NSS) is an academic journal, published quarterly online and on paper, that has been created for publications of advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics etc. and their applications in any field.
Author: Said Broumi Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 14
Book Description
Real-life decision-making problem has been demonstrated to cover the indeterminacy through single valued neutrosophic set. It is the extension of interval valued neutrosophic set. Most of the problems of real life involve some sort of uncertainty in it among which, one of the famous problem is finding a shortest path of the network. In this paper, a new score function is proposed for interval valued neutrosophic numbers and SPP is solved using interval valued neutrosophic numbers. Additionally, novel algorithms are proposed to find the neutrosophic shortest path by considering interval valued neutrosophic number, trapezoidal and triangular interval valued neutrosophic numbers for the length of the path in a network with illustrative example. Further, comparative analysis has been done for the proposed algorithm with the existing method with the shortcoming and advantage of the proposed method and it shows the effectiveness of the proposed algorithm.
Author: Ranjan Kumar Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 7
Book Description
We have exhibited a novel method for finding the neutrosophic shortest path problem (NSSPP) considering Gaussian valued Neutrosophic number. We have used linear programming approach for finding the NSS- PP for Gaussian valued Neutrosophic number which is as per best of our information, hasn’t been used till date for any other research work. In this article, we have introduced a novel method which deals Gaussian shaped neutrosophic problem easily without using any ranking method. We have used this method to solve uncertain network problems to find the shortest path which can help in taking crucial uncertain decisions. Finally, some numerical considerations are provided to show the effectiveness of the proposed model.
Author: Kiran Khatter Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 21
Book Description
This paper discusses the trapezoidal fuzzy number(TrFN); Interval-valued intuitionistic fuzzy number(IVIFN); neutrosophic set and its operational laws; and, trapezoidal neutrosophic set(TrNS) and its operational laws. Based on the combination of IVIFN and TrNS, an Interval Valued Trapezoidal Neutrosophic Set (IVTrNS) is proposed followed by its operational laws. The paper also presents the score and accuracy functions for the proposed Interval Valued Trapezoidal Neutrosophic Number (IVTrNN). Then, an interval valued trapezoidal neutrosophic weighted arithmetic averaging (IVTrNWAA) operator is introduced to combine the trapezoidal information which is neutrosophic and in the unit interval of real numbers. Finally, a method is developed to handle the problems in the multi attribute decision making(MADM) environment using IVTrNWAA operator followed by a numerical example of NFRs prioritization to illustrate the relevance of the developed method.
Author: Avishek Chakraborty Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 22
Book Description
In this research article, we envisage the neutrosophic number from various distinct rational perspectives & viewpoints to give it a look of a conundrum. We focused & analysed various types of linear and non-linear generalized trapezoidal neutrosophic numbers which serves an indispensable role for uncertainty concept related problem.
Author: N. Sudha Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 7
Book Description
The aim of this paper is to propose a methodology for solving Linear Complementarity Problem with Single Valued Trapezoidal Neutrosophic Numbers (SVTN). The effectiveness of the proposed method is illustrated by means of a numerical example. This problem finds many applications in several areas of science, engineering and economics.
Author: Hamiden Abd El-Wahed Khalifa
Author: Hamiden Abd El-Wahed Khalifa
Author: Hamiden Khalifa
Author: Florentin Smarandache
Author: Florentin Smarandache
Author: Said Broumi
Author: Ranjan Kumar
Author: Kiran Khatter
Author: Avishek Chakraborty
Author: Florentin Smarandache
Author: N. Sudha