The aim of this paper is to focus on the accepted number of arbitrators in law and practice. It is common practice for arbitration agreements to address the number of the arbitrators. Selecting the number of arbitrators is one of the most critical issues in arbitration and it is vitally important to the effectiveness and speed of the arbitration process. Indeed, arbitration clauses often specify the number of persons who will comprise the tribunal in the event of future disputes. However, if the parties do not agree upon the number of arbitrators, institutional rules usually grant the institution power to do so. On the other hand and in the case of ad hoc arbitration, national courts will have the power to decide on the default number rules in based on the arbitration legislation. This paper points out that although the sole or odd number for an arbitral tribunal is commonly used to the extent that it seems to be the only accepted rule, the even number is also accepted under certain trades, rules and legislation, nationally and internationally. Many questions arise from applying the odd number in arbitration, which this paper aims to answer. Moreover, there are some conditions that need to be met in the case of choosing an even number. This paper highlights the underpinning arguments behind both the odd and even number rules in arbitration, evaluating the advantages and disadvantages of each case. 

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Journal: Saharia and Law, VOLume 45, No. 2,Supplement 2,2018

Journal:

In this paper, we extend the notion of classical soft expert sets to possibility neutrosophic vague soft expert sets by applying the theory of soft expert sets to possibility neutrosophic vague soft sets. The subset, complement, union , intersection, AND and OR operations as well as some related concepts pertaining to this notion are defined.

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Journal: AIP Conference Proceedings 1830, 010001 (2017); doi: 10.1063/1.4980863

We introduce the mapping on complex neutrosophic soft expert sets. Further, we investigated the basic operations and other related properties of complex neutrosophic soft expert image and complex neutrosophic soft expert inverse image of complex neutrosophic soft expert sets.

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Journal: AIP Conference Proceedings 1940, 020111 (2018); doi: 10.1063/1.5028026

Recently, vague sets and neutrosophic sets have received great attention among the scholars and have been applied in many applications. But, the actual theoretical impacts of the combination of these two sets in dealing uncertainties are still not fully explored until now. In this paper, a new generalized mathematical model called interval neutrosophic vague sets is proposed, which is a combination of vague sets and interval neutrosophic sets and a generalization of interval neutrosophic vague sets. Some definitions of interval neutrosophic vague set such as union, complement and intersection are presented. Furthermore, the basic operations, the derivation of its properties and related example are included.

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Journal: (Neutrosophic Sets and Systems: 25(2019

The notion of classical soft sets is extended to neutrosophic vague soft sets by applying the theory of soft sets to neutrosophic vague sets to be more effective and useful. We also define its null, absolute and basic operations, namely complement, subset, equality, union and intersection along with illustrative examples, and study some related properties with supporting proofs. Lastly, this notion is applied to a decision making problem and its effectiveness is demonstrated using an illustrative example.

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Journal: (MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES:11(2

The notion of classical soft sets is extended to neutrosophic vague soft sets by applying the theory of soft sets to neutrosophic vague sets to be more effective and useful. We also define its null, absolute and basic operations, namely complement, subset, equality, union and intersection along with illustrative examples, and study some related properties with supporting proofs. Lastly, this notion is applied to a decision making problem and its effectiveness is demonstrated using an illustrative example

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Journal: (Malaysian Journal of Mathematical Sciences: 11(2

The notion of classical soft multisets is extended to neutrosophic vague soft multisets by applying the theory of soft multisets to neutrosophic vague sets to be more effective and useful. We also define its basic operations, namely complement, subset, union, intersection along with illustrative examples, and study some related properties with supporting proofs. Lastly, this notion is applied to a decision making problem and its effectiveness is demonstrated using an illustrative example

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Journal: (Songklanakarin Journal of Science and Technology:40(2