A New Score Function of Pentagonal Neutrosophic Number and its Application in Networking Problem

Abstract

The pentagonal neutrosophic number is an extended version of single typed neutrosophic number. Real-humankind problems have different sorts of ambiguity in nature and amongst them; one of the important problems is solving the networking problem. In this contribution, the conception of pentagonal neutrosophic numbers has been focused on a distinct framework of reference. Here, we develop a new score function and its estimation has been formulated from different perspectives. Further, a time computing-based networking problem is considered herein pentagonal neutrosophic arena and solved it using an influx of dissimilar logical innovative thinking. Lastly, the computation of the total completion time of the problem reflects the impotency of this noble work.

Convergence of Neutrosophic Random Variables

“…The notion of neutrosophic logic is an extension of intuitionistic fuzzy logic by putting indeterminacy item (I) where I 2 = I, ..., I n = I, 0.I = 0; n ∈ N and I −1 is undened (see [23], [36]). Neutrosophic logic has plenty of applications in many areas of sciences including multicriteria decision making [33], [22], [29], machine learning [6], [31], intelligent disease diagnosis [34], [11], communication services [8], pattern recognition [32], social network analysis and e-learning systems [24], physics [38], sequences spaces [15] and many others. Neutrosophic logic has helped many multicretia decision-making problems eciently like nding credit rating, personal selection, among other.…”

Comparative study between GRA and MEREC technique on an agricultural-based MCGDM problem in pentagonal neutrosophic environment

“…In the year 2015, Helen (Helen and Uma 2015 ) established the idea of pentagonal fuzzy number, which has been extended by Christi (Christi and Kasthuri 2016 ) into pentagonal intuitionistic number to resolve the transportation problem. Recently, Chakraborty (Chakraborty et al 2019c , d , 2020 ; Chakraborty 2020 ) manifested a legerdemain conception of pentagonal fuzzy number and its various and distinct depiction in transportation field, graph theoretical problem, MCGDM and networking arena.…”

A Multi-Level Multi-Objective Integer Quadratic Programming Problem Under Pentagonal Neutrosophic Environment

“…In addition, the truth membership function, indeterminacy membership function, and falsity membership functions are independent of each other [5] . The single-valued Neutrosophic sets are proposed by Wang et al [6] In 2014, Smarandache [7] introduced the refined n-valued Neutrosophic set, which is an extension of the Neutrosophic set and is more powerful for solving problems in very complex environments. In a refined n-valued Neutrosophic set, the occurrences are more than one with the possibility of the same or different truth membership function, indeterminacy membership function, and falsity membership functions.…”

“…Chakraborty et al [8] came up with the Pentagonal Neutrosophic number (PNN) concept, and further suggested different techniques for deneutrosophication in Refs. [9,10].…”