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In this paper, notion of p - norm generalized trapezoidal intuitionistic fuzzy numbers is introduced. A new ranking method is introduced for p - norm generalized trapezoidal intuitionistic fuzzy numbers. Also we consider linear programming…

Optimization and Control · Mathematics 2015-12-08 Shashi Aggarwal , Chavi Gupta

Transportation Problem is an important problem which has been widely studied in Operations Research domain. It has been often used to simulate different real life problems. In particular, application of this Problem in NP Hard Problems has…

Artificial Intelligence · Computer Science 2013-07-09 Arindam Chaudhuri , Kajal De , Dipak Chatterjee , Pabitra Mitra

In this article, a new concept of LR-type interval-valued intuitionistic fuzzy numbers (LR-type IVIFN) has been introduced. The theory has also been enriched by demonstrating diagrammatic representations of LR-type IVIFNs and establishing…

Optimization and Control · Mathematics 2023-01-19 Manisha Malik , S. K. Gupta , Manuel Arana-Jiménez

This paper discusses the trapezoidal fuzzy number(TrFN); Interval-valued intuitionistic fuzzy number(IVIFN); neutrosophic set and its operational laws; and, trapezoidal neutrosophic set(TrNS) and its operational laws. Based on the…

Artificial Intelligence · Computer Science 2020-07-14 Kiran Khatter

Transportation Problem is an important aspect which has been widely studied in Operations Research domain. It has been studied to simulate different real life problems. In particular, application of this Problem in NP- Hard Problems has a…

Artificial Intelligence · Computer Science 2013-07-09 Arindam Chaudhuri , Kajal De

Discrete optimal transportation problems arise in various contexts in engineering, the sciences and the social sciences. Often the underlying cost criterion is unknown, or only partly known, and the observed optimal solutions are corrupted…

Optimization and Control · Mathematics 2019-05-13 Andrew M. Stuart , Marie-Therese Wolfram

Ranking of intuitionsitic fuzzy number plays a vital role in decision making and other intuitionistic fuzzy applications. In this paper, we propose a new ranking method of intuitionistic fuzzy number based on distance measure. We first…

General Mathematics · Mathematics 2014-10-28 Debaroti Das , P. K. De

This paper addresses the fuzzy shortest path problem in directed graphs, where edge costs are modeled as generalized fuzzy numbers with Gaussian membership functions. We interpret height as an indicator of information reliability. Based on…

Cryptography and Security · Computer Science 2026-05-28 Hande Günay Akdemir , Murat Moran

Generally, in transportation problem, full vehicles (e.g., light commercial vehicles, medium duty and heavy duty trucks, etc.) are to be booked, and transportation cost of a vehicle has to be paid irrespective of the fulfilment of the…

Optimization and Control · Mathematics 2020-11-09 Mouhya B. Kar , Pradip Kundu , Samarjit Kar , Tandra Pal

L.A.Zadeh introduced the concept of fuzzy set theory as the generalization of classical set theory in 1965 and further it has been generalized to intuitionistic fuzzy sets (IFSs) by Atanassov in 1983 to model information by the membership,…

General Mathematics · Mathematics 2016-02-05 V. Lakshmana Gomathi Nayagam , Jeevaraj. S , Geetha Sivaraman

This study is inspired by those of Huang et al. (Soft Comput. 25, 2513--2520, 2021) and Wang et al. (Inf. Sci. 179, 3026--3040, 2009) in which some ranking techniques for interval-valued intuitionistic fuzzy numbers (IVIFNs) were…

Artificial Intelligence · Computer Science 2021-12-07 Xinxing Wu , Chaoyue Tan , Gul Deniz Cayli , Peide Liu

Optimal transportation theory is an area of mathematics with real-world applications in fields ranging from economics to optimal control to machine learning. We propose a new algorithm for solving discrete transport (network flow) problems,…

Optimization and Control · Mathematics 2019-05-03 J. D. Walsh , Luca Dieci

In this article, we propose a new method for solving the interval fixed charge transportation problem (IFCTP), wherein the parameters (associated cost, fixed cost, supply, and demand) are represented by interval numbers. First, an…

Optimization and Control · Mathematics 2023-09-14 Ummey Habiba , Abdul Quddoos , Masihuddin

This paper presents a fuzzy queuing location model for congested system. In a queuing system there are different criteria that are not constant such as service rate, service rate demand, queue length, the occupancy probability of a service…

Other Computer Science · Computer Science 2010-04-21 Reza Rabieyan

This paper primarily presents two methods of ranking aggregated fuzzy numbers from intervals using the Interval Agreement Approach (IAA). The two proposed ranking methods within this study contain the combination and application of…

Artificial Intelligence · Computer Science 2020-12-07 Justin Kane Gunn , Hadi Akbarzadeh Khorshidi , Uwe Aickelin

The Bayesian inference is widely used in many scientific and engineering problems, especially in the linear inverse problems in infinite-dimensional setting where the unknowns are functions. In such problems, choosing an appropriate prior…

Statistics Theory · Mathematics 2021-12-13 Zejun Sun , Guang-Hui Zheng

In an earlier work we have used the Triangular Fuzzy Numbers (TFNs)as an assessment tool of student skills.This approach led to an approximate linguistic characterization of the students' overall performance, but it was not proved to be…

Artificial Intelligence · Computer Science 2015-10-14 Michael Voskoglou

We propose a novel exact algorithm for the transportation problem, one of the paradigmatic network optimization problems. The algorithm, denoted Iterated Inside Out, requires in input a basic feasible solution and is composed by two main…

Optimization and Control · Mathematics 2023-03-30 Roberto Bargetto , Federico Della Croce , Rosario Scatamacchia

The theory of fuzzy mathematics has been proven very effective for defining and solving optimization problems. Fuzzy quadratic programming (FQP) is a consequence of this approach. In this paper, an algorithm has been proposed to solve FQP…

General Mathematics · Mathematics 2022-07-25 Sajal Chakroborty

The user equilibrium in traffic assignment problem is based on the fact that travelers choose the minimum-cost path between every origin-destination pair and on the assumption that such a behavior will lead to an equilibrium of the traffic…

Artificial Intelligence · Computer Science 2014-06-10 Yang Liu , Xiaoge Zhang , Yong Deng
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