A Novel Arithmetic Technique for Generalized Interval-Valued Triangular Intuitionistic Fuzzy Numbers and Its Application in Decision Making

Dutta, Palash; Talukdar, Pranjal

doi:10.2174/1874110x01812010072

Cited by 7 publications

(1 citation statement)

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“…This concept was generalized by Atanassov [2] to intuitionistic fuzzy set (IFS) which is determined in terms of membership (MS) and non-membership (NMS) functions, the characteristic functions of the set. Beside this, several theories have been developed for uncertainties, including generalized orthopair FSs [3], Pythagorean FSs [4], picture FSs [5], hesitant interval-based neutrosophic linguistic sets [6], N-valued interval neutrosophic sets (NVINSs) [7], generalized interval-valued triangular intuitionistic FSs [8], interval-valued trapezoidal intuitionistic FSs [9], 1 3 interval-valued Pythagorean FSs [10], interval-valued IFSs [11], and interval type 2 FSs [12].…”

Section: Introduction and Review Of The Literaturementioning

confidence: 99%

Shortest path problem using Bellman algorithm under neutrosophic environment

Dey¹,

Talea

Bakali

et al. 2019

Complex Intell. Syst.

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An elongation of the single-valued neutrosophic set is an interval-valued neutrosophic set. It has been demonstrated to deal indeterminacy in a decision-making problem. Real-world problems have some kind of uncertainty in nature and among them; one of the influential problems is solving the shortest path problem (SPP) in interconnections. In this contribution, we consider SPP through Bellman's algorithm for a network using interval-valued neutrosophic numbers (IVNNs). We proposed a novel algorithm to obtain the neutrosophic shortest path between each pair of nodes. Length of all the edges is accredited an IVNN. Moreover, for the validation of the proposed algorithm, a numerical example has been offered. Also, a comparative analysis has been done with the existing methods which exhibit the advantages of the new algorithm.Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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