Papers by Author: Florentin Smarandache

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Authors: Said Broumi, Florentin Smarandache, Mohamed Talea, Assia Bakali
Abstract: In this paper, we first define the concept of bipolar single neutrosophic graphs as the generalization of bipolar fuzzy graphs, N-graphs, intuitionistic fuzzy graph, single valued neutrosophic graphs and bipolar intuitionistic fuzzy graphs.
Authors: Said Broumi, Florentin Smarandache
Abstract: In this paper we introduce for the first time the concept of correlation coefficients of interval valued neutrosophic set (INS for short). Respective numerical examples are presented.
Authors: Monika Moga, Gavrilă Calefariu, Florentin Smarandache, Flavius Aurelian Sarbu, Laura Bogdan
Abstract: The research and development (R&D) processes influence the economic development of a company, because in an industry that is changing fast, firms must continually revise their projects and range of products. The novelty of the paper is that it focuses on determining components of cost and the duration of the R & D processes in its cost calculation procedure. The originality of this work is the use of Monte Carlo simulation to determine the average length of producing a new product.
Authors: Ilanthenral Kandasamy, Florentin Smarandache
Abstract: Double Refined Indeterminacy Neutrosophic Set (DRINS) is an inclusive case of the refined neutrosophic set, defined by Smarandache (2013), which provides the additional possibility to represent with sensitivity and accuracy the uncertain, imprecise, incomplete, and inconsistent information which are available in real world. More precision is provided in handling indeterminacy; by classifying indeterminacy (I) into two, based on membership; as indeterminacy leaning towards truth membership (IT) and indeterminacy leaning towards false membership (IF). This kind of classification of indeterminacy is not feasible with the existing Single Valued Neutrosophic Set (SVNS), but it is a particular case of the refined neutrosophic set (where each T, I, F can be refined into T1, T2, ...; I1, I2, ...; F1, F2, ...). DRINS is better equipped at dealing indeterminate and inconsistent information, with more accuracy than SVNS, which fuzzy sets and Intuitionistic Fuzzy Sets (IFS) are incapable of. Based on the cross entropy of neutrosophic sets, the cross entropy of DRINSs, known as Double Refined Indeterminacy neutrosophic cross entropy, is proposed in this paper. This proposed cross entropy is used for a multicriteria decision-making problem, where the criteria values for alternatives are considered under a DRINS environment. Similarly, an indeterminacy based cross entropy using DRINS is also proposed. The double valued neutrosophic weighted cross entropy and indeterminacy based cross entropy between the ideal alternative and an alternative is obtained and utilized to rank the alternatives corresponding to the cross entropy values. The most desirable one(s) in decision making process is selected. An illustrative example is provided to demonstrate the application of the proposed method. A brief comparison of the proposed method with the existing methods is carried out.
Authors: Emilia Calefariu, Mircea Boșcoianu, Florentin Smarandache, Traian Alexandru Buda
Abstract: Despite numerous attempts to refocus traditional bivalent logic, usually, logic is tributary by keeping fixed limits for truth or false. An alternative answer to this need is the system of Neutrosophy, and its connected logic, Neutrosophic Logic, presented in the work of the authors W. B. Vasantha Kandasamy and Florentin Smarandache. Neutrosophy is a new branch of philosophy that studies the origin, nature and scope of neutralities, as well as their interactions with different ideational spectra. We are surrounded by indeterminacy, which can be pointed in any situation that, from one point of view can be considered true, and from another point of view can be considered false. In Neutrosophic logic, every statement includes a percentage of truth (T), includes a percentage of indeterminacy (I) and a percentage of falsity (F). The major novelty of the work is that investment process is analyzed through the method of Neutrosophic logic, taking into account investment parameters such as: economic return on investment, recovery duration on investment, the resources involved (financial, human and time), the production capacity, the period of execution, the work volume, the market demand, the training of the personnel, etc. Thus, this paper consists of the analysis of interdependence and indeterminacy of these parameters. The model will be calibrated by conducting case studies, with real parameters of input to be analyzed and known output data, which will be used for the research of a present investment process.
Authors: Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Mumtaz Ali
Abstract: This main purpose of this paper is to develop an algorithm to find the shortest path on a network in which the weights of the edges are represented by bipolar neutrosophic numbers. Finally, a numerical example has been provided for illustrating the proposed approach.
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