Some weighted geometric operators with SVTrN-numbers and their application to multi-criteria decision making problems

Deli̇, İrfan; Subas, Yusuf

doi:10.3233/jifs-151677

Cited by 49 publications

(17 citation statements)

References 44 publications

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“…Neutrosophic set is a popularization of fuzzy and intuitionistic fuzzy sets; each element of set had a truth, indeterminacy and falsity membership function. So, neutrosophic set can assimilate inaccurate, vague and maladjusted information efficiently and effectively [11,12]. We now can say that NLP problem is a problem in which at least one coefficient is represented by a neutrosophic number due to vague, inconsistent and uncertain information.…”

Section: Introductionmentioning

confidence: 99%

RETRACTED ARTICLE: A novel method for solving the fully neutrosophic linear programming problems

Abdel‐Basset

Gunasekaran

Mohamed

et al. 2018

Neural Comput & Applic

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The most widely used technique for solving and optimizing a real-life problem is linear programming (LP), due to its simplicity and efficiency. However, in order to handle the impreciseness in the data, the neutrosophic set theory plays a vital role which makes a simulation of the decision-making process of humans by considering all aspects of decision (i.e., agree, not sure and disagree). By keeping the advantages of it, in the present work, we have introduced the neutrosophic LP models where their parameters are represented with a trapezoidal neutrosophic numbers and presented a technique for solving them. The presented approach has been illustrated with some numerical examples and shows their superiority with the state of the art by comparison. Finally, we conclude that proposed approach is simpler, efficient and capable of solving the LP models as compared to other methods.

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Section: Introductionmentioning

confidence: 99%

RETRACTED ARTICLE: A novel method for solving the fully neutrosophic linear programming problems

Abdel‐Basset

Gunasekaran

Mohamed

et al. 2018

Neural Comput & Applic

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“…Deli [50] proposed single valued trapezoidal neutrosophic operators and applied them in a decision making problem. Deli and Subas [51] proposed weighted geometric operators under single valued triangular neutrosophic numbers and applied in a decision making problem. Deli et al [52] solved a decision making problem using neutrosophic soft sets.…”

Section: Literature Of Reviewmentioning

confidence: 99%

The shortest path problem in interval valued trapezoidal and triangular neutrosophic environment

Nagarajan

Bakali

Talea

et al. 2019

Complex Intell. Syst.

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Real-life decision-making problem has been demonstrated to cover the indeterminacy through single valued neutrosophic set. It is the extension of interval valued neutrosophic set. Most of the problems of real life involve some sort of uncertainty in it among which, one of the famous problem is finding a shortest path of the network. In this paper, a new score function is proposed for interval valued neutrosophic numbers and SPP is solved using interval valued neutrosophic numbers. Additionally, novel algorithms are proposed to find the neutrosophic shortest path by considering interval valued neutrosophic number, trapezoidal and triangular interval valued neutrosophic numbers for the length of the path in a network with illustrative example. Further, comparative analysis has been done for the proposed algorithm with the existing method with the shortcoming and advantage of the proposed method and it shows the effectiveness of the proposed algorithm.Keywords Interval valued triangular neutrosophic number · Interval valued trapezoidal neutrosophic number · Ranking methods · Deneutrosophication · Neutrosophic shortest path problem · Network Introduction and literature of reviewIn this part, introduction to the objective of the paper is given by presenting basic concepts and procedure of the shortest path problem (SPP) and the literature of review have been collected to know the recent work related to the presented concept which shows the novelty of the presented work * Said Broumi Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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“…The decision-making problem with uncertainty has expand its application in operation research [20], graph theory [41,42] etc. Recently, in neutrosophic arena [43,44,45] expanded in its different applicability in scientific application.…”

Section: Some Basic Difference Between Some Uncertain Parametermentioning

confidence: 99%

Different linear and non-linear form of trapezoidal neutrosophic numbers, de-neutrosophication techniques and its application in time-cost optimization technique, sequencing problem

Chakraborty

Mondal

Mahata³

et al. 2021

RAIRO-Oper. Res.

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In this research article, we envisage the neutrosophic number from various distinct rational perspectives & viewpoints to give it a look of a conundrum. We focused & analysed various types of linear and non-linear generalized trapezoidal neutrosophic numbers which serves an indispensable role for uncertainty concept related problem. We also introduce the idea of de-neutrosofication for trapezoidal neutrosophic number using an influx of different logical & innovative methods by which we move with a manifesto to convert a neutrosophic number into a crisp number. Using this concepts of de-neutrosophication, we analyze some real life problem like networking Crash model problem and job-sequencing problem of operation research field when the numbers are in trapezoidal neutrosophic ambience. We also compare our specified result with previously defined score and accuracy function and try to present some interesting and better result without any possible fiasco. This noble thought will help us to solve a plethora of daily life problems in neutrosophic arena.

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Some weighted geometric operators with SVTrN-numbers and their application to multi-criteria decision making problems

Cited by 49 publications

References 44 publications

RETRACTED ARTICLE: A novel method for solving the fully neutrosophic linear programming problems

RETRACTED ARTICLE: A novel method for solving the fully neutrosophic linear programming problems

The shortest path problem in interval valued trapezoidal and triangular neutrosophic environment

Different linear and non-linear form of trapezoidal neutrosophic numbers, de-neutrosophication techniques and its application in time-cost optimization technique, sequencing problem

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