Transportation Problem Under Interval-Valued Intuitionistic Fuzzy Environment

Bharati, Shailendra Kumar; Singh, S. R.

doi:10.1007/s40815-018-0470-y

Cited by 43 publications

(12 citation statements)

References 30 publications

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“…After the invention of intuitionistic fuzzy set theory many authors (for instance, Kumar 2012a, b, c, 2013;Kumar and Hussain 2014a;Singh and Yadav 2015;Hussain 2015, 2016a;Ebrahimnejad and Verdegay 2016;Gupta and Anupum 2017;Kumar 2018b, c, d;Mahmoodirad et al 2018;Bharati and Singh 2018a;Ebrahimnejad and Verdegay 2018b;Hunwisai et al 2018;Pathade and Ghadle 2018;Abhishekh and Nishad 2018;Sidhu and Kumar 2019;Pratihar et al 2020;Smarandache and Broumi 2020) have solved transportation/linear programming problems under neutrosophic/IFE successfully. Similarly, a lot of works based on AP in IFE has been done by several researchers such as Mukherjee and Basu (2012), Hussain (2014b, c, d, 2016b, c), Kumar (2017b), Pothiraj and Rajaram (2017), Kumar (2018e, 2020a and many others.…”

Section: Historical Aspectsmentioning

confidence: 99%

Algorithms for solving the optimization problems using fuzzy and intuitionistic fuzzy set

Kumar

2020

Int J Syst Assur Eng Manag

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Section: Historical Aspectsmentioning

confidence: 99%

Algorithms for solving the optimization problems using fuzzy and intuitionistic fuzzy set

Kumar

2020

Int J Syst Assur Eng Manag

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“…A set of IVTIFN (shown in Figure 2) is defined as A = A , A = (a , a , a ); (a , a , a ) , (a = a = a ). The membership function (μ (x), μ (x)), indicating that what degree the element (x) subordinates to the set, is expressed as follows [51]:…”

Section: Intervalued Trapezoidal Intuitionistic Fuzzy Numbermentioning

confidence: 99%

“…, indicating that what degree the element (x) subordinates to the set, is expressed as follows [51]:…”

Section: Intervalued Trapezoidal Intuitionistic Fuzzy Numbermentioning

confidence: 99%

An IVTIFN–TOPSIS Based Computational Approach for Pipe Materials Selection

Zhao

et al. 2019

Applied Sciences

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This paper proposes a multicriteria decision-making (MCDM) approach, coupling intervalued trapezoidal intuitionistic fuzzy number (IVTIFN) with the technique for order preference by similarity to ideal solution (TOPSIS) to facilitate the selection of pipe materials. Their integration can maximize the advantage in better expressing decision maker’s preference on the proposed evaluation criteria by using a bounded limit instead of an exact value, to rank material alternatives based upon their functional, economic and environmental attributes. To reduce possible information overlapping resulted from the criteria, Mahalanobis distance is incorporated into IVTIFN–TOPSIS to improve the selection results. An illustrative example is provided to verify the proposed approach and demonstrate its practical application, in which four common alternative materials, including carbon steel, galvanized steel, polyvinyl chloride (PVC) and high-density polyethylenes (HDPE), are subject to precise selection to determine their adaptability in waste-water piping. The selection result indicates that the plastic materials are superior to the metal materials. In particular, HDPE is the optimal material alternative for waste-water collection and transport.

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“…Razmi et al [25] solved the multi-objective problem by intuitionistic fuzzy approach. In 2018, Bharati and Singh [26] formulated and solved the transportation problem by intuitionistic fuzzy procedure. Ebrahimnejad and Verdegay [27] solved the transportation problem under trapezoidal intuitionistic fuzzy environment.…”

Section: Introductionmentioning

confidence: 99%

An Aspect of Bilevel Indefinite Quadratic Transportation Problem Under Intuitionistic Fuzzy Environment

Arora

Singh

Arora

2021

Frontiers in Artificial Intelligence and Applications

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In this paper, a bilevel problem is exhibited wherein both the manufacturers and e-traders want to minimize the cost of transportation as well as deterioration cost. In todays world, reliability on online ordering has increased manifold. The “app culture” has lured the common man to prefer virtual shopping over the physical one. The consumers can order the necessities or the goods of their choice through electronic delivery apps. The manufacturers have tied up with e-traders who in turn satisfy the consumers demand. With this aim, a bilevel indefinite quadratic transportation problem is dened. Sometimes it is difcult to estimate the daily demand of perishable products on a regular basis. Therefore, demand and supply parameters become uctuating in nature. To tackle this situation, bilevel indefinite quadratic transportation problem with intuitionistic fuzzy demand and supply parameters is formulated. This problem is dealt by converting fuzzy parameters into crisp ones. The transformed problem is then solved by two methods, intuitionistic fuzzy programming and fuzzy goal programming approach. To support the results, an example is also illustrated numerically representing the practical application of the problem. A comparative analysis of the solutions obtained from the two techniques is also presented. The problem is solved by computing software.

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Transportation Problem Under Interval-Valued Intuitionistic Fuzzy Environment

Cited by 43 publications

References 30 publications

Algorithms for solving the optimization problems using fuzzy and intuitionistic fuzzy set

Algorithms for solving the optimization problems using fuzzy and intuitionistic fuzzy set

An IVTIFN–TOPSIS Based Computational Approach for Pipe Materials Selection

An Aspect of Bilevel Indefinite Quadratic Transportation Problem Under Intuitionistic Fuzzy Environment

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