A New Approach for Optimization of Real Life Transportation Problem in Neutrosophic Environment
Mathematical Problems in EngineeringPublished 1 January 2016Open access
A. Thamaraiselvi, R. Santhi
Citations45
SJR quartileQ2
SJR score0.40
SNIP0.70
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
This paper attempts to introduce the mathematical representation of a transportation problem in neutrosophic environment and a new method for solving transportation problem with indeterminate and inconsistent information is proposed briefly.
Abstract
Neutrosophic sets have been introduced as a generalization of crisp sets, fuzzy sets, and intuitionistic fuzzy sets to represent uncertain, inconsistent, and incomplete information about a real world problem. For the first time, this paper attempts to introduce the mathematical representation of a transportation problem in neutrosophic environment. The necessity of the model is discussed. A new method for solving transportation problem with indeterminate and inconsistent information is proposed briefly. A real life example is given to illustrate the efficiency of the proposed method in neutrosophic approach.
Keywords
Decision SciencesMathematicsEngineering
Fuzzy Sets and SystemsIntuitionistic fuzzy sets
16,153 Citations1986Krassimir Atanassov
Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
viXraSingle Valued Neutrosophic Sets
1,332 Citations2010Haibin Wang, Florentín Smarandache +2 more
This work defines the settheoretic operators on an instance of neutrosophic set, and provides various properties of SVNS, which are connected to the operations and relations over SVNS.
Journal of Intelligent & Fuzzy SystemsSimilarity measures between interval neutrosophic sets and their applications in multicriteria decision-making
425 Citations2014Jun Ye
The Hamming and Euclidean distances between interval neutrosophic sets (INSs) are defined and the similarity measures between INSs are proposed based on the relationship between similarity measures and distances.
Computers & Mathematics with ApplicationsA ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems
366 Citations2010Deng‐Feng Li
The concept of a triangular IFN (TIFN) is introduced as a special case of the IFN and a new methodology for ranking TIFNs is developed on the basis of a ratio of the value index to the ambiguity index and applied to multiattribute decision making problems in which the ratings of alternatives on attributes are expressed with TIFN.
The Scientific World JOURNALInterval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems
325 Citations2014Hong‐yu Zhang, Jian‐qiang Wang +1 more
The operations for INSs are defined and a comparison approach is put forward based on the related research of interval valued intuitionistic fuzzy sets (IVIFSs), and two interval neutrosophic number aggregation operators are developed.
Fuzzy Sets and SystemsA concept of the optimal solution of the transportation problem with fuzzy cost coefficients
302 Citations1996Stefan Chanas, Dorota Kuchta
A definition of the optimal solution of the transportation problem with fuzzy cost coefficients as well as an algorithm determining this solution are proposed.
Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multi-criteria decision making problems
175 Citations2009Jian‐qiang Wang, Zhang Zhong
A kind of intuitionistic trapezoidal fuzzy multi-criteria decision making method, which combines score function and accuracy function values of integrated fuzzy numbers, so that a ranking of the whole alternative set can be attained.
Applied Soft ComputingA new approach for solving fuzzy transportation problems using generalized trapezoidal fuzzy numbers
170 Citations2011Amarpreet Kaur, Amit Kumar
A new algorithm is proposed for solving a special type of fuzzy transportation problems by assuming that a decision maker is uncertain about the precise values of transportation cost only but there is no uncertainty about the supply and demand of the product.
European Journal of Operational ResearchSolving fuzzy solid transportation problems by an evolutionary algorithm based parametric approach
134 Citations1999Fernando Jiménez, José Luís Verdegay
An Evolutionary Algorithm (EA) based solution method is proposed to solve the FSTP, which can finally be applied to find a “good” fuzzy solution to the F STP.
Information SciencesNew operators on triangular intuitionistic fuzzy numbers and their applications in system fault analysis
132 Citations2013Jian‐qiang Wang, Rongrong Nie +2 more
New arithmetic operations and logic operators for TIFNs are proposed and applied to fault analysis of a printed circuit board assembly system and compared to existing ones to confirm their feasibility and rationality.
Applied Mathematical ModellingA new method for solving fuzzy transportation problems using ranking function
132 Citations2011Amarpreet Kaur, Amit Kumar
A new method is proposed for solving fuzzy transportation problems by assuming that a decision maker is uncertain about the precise values of the transportation cost, availability and demand of the product.
Two Stage Fuzzy Transportation Problem
106 Citations2006A. Nagoor Gani, Khadijah Abdul Razak
A parametric approach is used to obtain a fuzzy solution to the two stage cost minimizing fuzzy transportation problem in which supplies and demands are trapezoidal fuzzy numbers.
Fuzzy Sets and SystemsA fuzzy transportation algorithm
105 Citations1982Michéal ÓhÉigeartaigh
An algorithm for solving transportation problems with fuzzy constraints is proposed and the relationship between the algebraic structure of the optimum solution of the deterministic problem and its fuzzy equivalent is investigated.
Algorithmic Approach for Solving Intuitionistic Fuzzy Transportation Problem
48 Citations2017R. Jahir Hussain, P. Senthil Kumar
Intuitionistic fuzzy zero point method is proposed to find the optimal solution in terms of triangular intuitionistic fuzzy numbers to investigate transportation problem in which supplies and demands are intuitionism fuzzy numbers.
International Journal of Production ResearchAn interactive approach for the multi-objective transportation problem with interval parameters
48 Citations2014Vincent F. Yu, Kuo-Jen Hu +1 more
International Journal of e-Navigation and Maritime EconomyA Transportation Problem with Uncertain Costs and Random Supplies
40 Citations2015Haiying Guo, Xiaosheng Wang +1 more