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 concept 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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Keywords: Linear and non-linear Neutrosophic number, de-neutrosophication methods, time-cost optimization technique, sequencing problem
@article{RO_2021__55_S1_S97_0,
author = {Chakraborty, Avishek and Mondal, Sankar Prasad and Mahata, Animesh and Alam, Shariful},
title = {Different linear and non-linear form of trapezoidal neutrosophic numbers, de-neutrosophication techniques and its application in time-cost optimization technique, sequencing problem},
journal = {RAIRO. Operations Research},
pages = {S97--S118},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
doi = {10.1051/ro/2019090},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2019090/}
}
TY - JOUR AU - Chakraborty, Avishek AU - Mondal, Sankar Prasad AU - Mahata, Animesh AU - Alam, Shariful TI - Different linear and non-linear form of trapezoidal neutrosophic numbers, de-neutrosophication techniques and its application in time-cost optimization technique, sequencing problem JO - RAIRO. Operations Research PY - 2021 SP - S97 EP - S118 VL - 55 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2019090/ DO - 10.1051/ro/2019090 LA - en ID - RO_2021__55_S1_S97_0 ER -
%0 Journal Article %A Chakraborty, Avishek %A Mondal, Sankar Prasad %A Mahata, Animesh %A Alam, Shariful %T Different linear and non-linear form of trapezoidal neutrosophic numbers, de-neutrosophication techniques and its application in time-cost optimization technique, sequencing problem %J RAIRO. Operations Research %D 2021 %P S97-S118 %V 55 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2019090/ %R 10.1051/ro/2019090 %G en %F RO_2021__55_S1_S97_0
Chakraborty, Avishek; Mondal, Sankar Prasad; Mahata, Animesh; Alam, Shariful. Different linear and non-linear form of trapezoidal neutrosophic numbers, de-neutrosophication techniques and its application in time-cost optimization technique, sequencing problem. RAIRO. Operations Research, Tome 55 (2021), pp. S97-S118. doi: 10.1051/ro/2019090
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