In this chapter, Taylor series is used to solve neutrosophic multiobjective programming problem (NMOPP). In the proposed approach, the truth membership, indeterminacy membership, falsity membership functions associated with each objective of multiobjective programming problems are transformed into a single objective linear programming problem by using a first order Taylor polynomial series.

In this chapter, Taylor series is used to solve neutrosophic multiobjective programming problem (NMOPP). In the proposed approach, the truth membership, indeterminacy membership, falsity membership functions associated with each objective of multiobjective programming problems are transformed into a single objective linear programming problem by using a first order Taylor polynomial series. Finally, to illustrate the efficiency of the proposed method, a numerical experiment for supplier selection is given as an application of Taylor series method for solving neutrosophic multi-objective programming problem.

“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.

This book treats all kind of data in neutrosophic environment, with real-life applications, approaching topics as linear programming problem, linear fractional programming, integer programming, triangular neutrosophic numbers, single valued triangular neutrosophic number, neutrosophic optimization, goal programming problem, Taylor series, multi-objective programming problem, neutrosophic geometric programming, neutrosophic topology, neutrosophic open set, neutrosophic semi-open set, neutrosophic continuous function, cylindrical skin plate design, neutrosophic MULTIMOORA, alternative solutions, decision matrix, ratio system, reference point method, full multiplicative form, ordinal dominance, standard error, market research, and so on. The selected papers deal with the alleviation of world changes, including changing demographics, accelerating globalization, rising environmental concerns, evolving societal relationships, growing ethical and governance concern, expanding the impact of technology; some of these changes have impacted negatively the economic growth of private firms, governments, communities, and the whole society.

Abstract: Contributors to current issue (listed in papers' order): Mai Mohamed, Mohamed Abdel-Basset, Abdel Nasser H Zaied, Florentin Smarandache, Mridula Sarkar, Samir Dey, Tapan Kumar Roy, A. A. Salama, Hewayda ElGhawalby, Shimaa Fathi Ali, T. Chalapathi, Kiran Kumar, Mehmet Sahin, Necati Olgun, Vakkas Ulucay, Abdullah Kargin, Tanushree Mitra Basu, Shyamal Kumar Mondal, Durga Banerjee, Bibhas C. Giri, Surapati Pramanik, Partha Pratim Dey, Mona Gamal Gafar, Ibrahim El-Henawy. Papers in current issue (listed in papers' order): Neutrosophic Integer Programming Problem; Multi-Objective Structural Design Optimization using Neutrosophic Goal Programming Technique; Topological Manifold Space via Neutrosophic Crisp Set Theory; Neutrosophic Graphs of Finite Groups; A New Similarity Measure Based on Falsity Value between Single Valued Neutrosophic Sets Based on the Centroid Points of Transformed Single Valued Neutrosophic Values with Applications to Pattern Recognition; Multi-Criteria Assignment Techniques in Multi-Dimensional Neutrosophic Soft Set Theory; GRA for Multi Attribute Decision Making in Neutrosophic Cubic Set Environment; Bipolar Neutrosophic Projection Based Models for Solving Multi-Attribute Decision-Making Problems, Integrated Framework of Optimization Technique and Information Theory Measures for Modeling Neutrosophic Variables, Neutrosophic Modal Logic. Keywords: neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic applications.

“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.

This volume is a collection of thirteen papers, written by different authors and co-authors (listed in the order of the papers): J. J. Peng and J. Q. Wang, E. Marei, S. Kar, K. Basu, S. Mukherjee, I. M. Hezam, M. Abdel-Baset and F. Smarandache, K. Mondal, S. Pramanik, A. Ionescu, M. R. Praveen and P. Sekar, B. Teodorescu, D. Kour and K. Basu, P. P. Dey and B. C. Giri, A. A. A. Agboola. In first paper, the authors studied Multi-valued Neutrosophic Sets and its Application in Multi-criteria Decision-Making Problems. More on neutrosophic soft rough sets and its modification is discussed in the second paper. Solution of Multi-Criteria Assignment Problem using Neutrosophic Set Theory are studied in third paper. In fourth paper, Taylor Series Approximation to Solve Neutrosophic Multiobjective Programming Problem. Similarly in fifth paper, Decision Making Based on Some similarity Measures under Interval Rough Neutrosophic Environment is discussed. In paper six, Neutralité neutrosophique et expressivité dans le style journalistique is studied by the author. Neutrosophic Semilattices and Their Properties given in seventh paper. Liminality and Neutrosophy is proposed in the next paper. Application of Extended Fuzzy Program-ming Technique to a real life Transportation Problem in Neutrosophic environment in the next paper. Further, TOPSIS for Single Valued Neutrosophic Soft Expert Set Based Multi-attribute Decision Making Problems is discussed by the authors in the tenth paper. In eleventh paper, Neutrosophic Quadruple Numbers, Refined Neutrosophic Quadruple Numbers, Absorbance Law, and the Multiplication of Neutrosophic Quadruple Numbers have been studied by the author. In the next paper, On Refined Neutrosophic Algebraic Structures. At the end, Neutrosophic Actions, Prevalence Order, Refinement of Neutrosophic Entities, and Neutrosophic Literal Logical Operators are introduced by the authors.