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Qiyas et al. (Int J Fuzzy Syst, 22: 310–320, 2020) proposed a linguistic picture fuzzy number (LPFN), an approach for comparing linguistic picture fuzzy numbers (LPFNs), some operational laws on LPFNs and a linguistic picture fuzzy weighted averaging (LPFWA) operator. In this commentary, some flaws that exist in Qiyas et al.’s approach for comparing LPFNs, Qiyas et al.’s operational laws and Qiyas et al.’s LPFWA operator have been pointed out.
S. S. Appadoo; Mohammadreza Makhan; Amit Kumar. Commentary on “Utilizing Linguistic Picture Fuzzy Aggregation Operators for Multiple-Attribute Decision-Making Problems”. International Journal of Fuzzy Systems 2021, 1 -4.
AMA StyleS. S. Appadoo, Mohammadreza Makhan, Amit Kumar. Commentary on “Utilizing Linguistic Picture Fuzzy Aggregation Operators for Multiple-Attribute Decision-Making Problems”. International Journal of Fuzzy Systems. 2021; ():1-4.
Chicago/Turabian StyleS. S. Appadoo; Mohammadreza Makhan; Amit Kumar. 2021. "Commentary on “Utilizing Linguistic Picture Fuzzy Aggregation Operators for Multiple-Attribute Decision-Making Problems”." International Journal of Fuzzy Systems , no. : 1-4.
Li and Chen (Cognit Comput. 2018; 10:496–505) proposed the concept of the D-intuitionistic hesitant fuzzy set as well as proposed a method for comparing two D-intuitionistic fuzzy sets. Li and Chen have proposed the concept of the D-intuitionistic hesitant fuzzy set by introducing the degree of belief of the decision maker regarding the opinion of an expert in the existing definition of an intuitionistic hesitant fuzzy set. In future, other researchers may use Li and Chen’s comparing method in their research work. However, after a deep study, it is observed that Li and Chen’s comparing method fails to differentiate two distinct D-intuitionistic fuzzy sets. It is inappropriate to use Li and Chen’s comparing method.
Akansha Mishra; Amit Kumar; S. S. Appadoo. Commentary on “D-Intuitionistic Hesitant Fuzzy Sets and Their Application in Multiple Attribute Decision Making”. Cognitive Computation 2021, 13, 1047 -1048.
AMA StyleAkansha Mishra, Amit Kumar, S. S. Appadoo. Commentary on “D-Intuitionistic Hesitant Fuzzy Sets and Their Application in Multiple Attribute Decision Making”. Cognitive Computation. 2021; 13 (4):1047-1048.
Chicago/Turabian StyleAkansha Mishra; Amit Kumar; S. S. Appadoo. 2021. "Commentary on “D-Intuitionistic Hesitant Fuzzy Sets and Their Application in Multiple Attribute Decision Making”." Cognitive Computation 13, no. 4: 1047-1048.
The aim of each company/industry is to provide a final product to customers at the minimum possible cost, as well as to protect the environment from degradation. Ensuring the shortest travel distance between involved locations plays an important role in achieving the company’s/industry’s objective as (i) the cost of a final product can be minimized by minimizing the total distance travelled (ii) finding the shortest distance between involved locations will require less fuel than the longest distance between involved locations. This will eventually result in lesser degradation of the environment. Hence, in the last few years, various algorithms have been proposed to solve different types of shortest path problems. A recently proposed algorithm for solving interval-valued Pythagorean fuzzy shortest path problems requires excessive computational efforts. Hence, to reduce the computational efforts, in this paper, firstly, an alternative lexicographic method is proposed for comparing interval-valued Pythagorean fuzzy numbers. Then, using the proposed lexicographic comparing method, a new approach (named as Mehar approach) is proposed to solve interval-valued Pythagorean fuzzy shortest path problems. Furthermore, the superiority of the proposed lexicographic comparing method, as well as the proposed Mehar approach, is discussed.
Tanveen Bhatia; Amit Kumar; Srimantoorao Appadoo; Yuvraj Gajpal; Mahesh Sharma. Mehar Approach for Finding Shortest Path in Supply Chain Network. Sustainability 2021, 13, 4016 .
AMA StyleTanveen Bhatia, Amit Kumar, Srimantoorao Appadoo, Yuvraj Gajpal, Mahesh Sharma. Mehar Approach for Finding Shortest Path in Supply Chain Network. Sustainability. 2021; 13 (7):4016.
Chicago/Turabian StyleTanveen Bhatia; Amit Kumar; Srimantoorao Appadoo; Yuvraj Gajpal; Mahesh Sharma. 2021. "Mehar Approach for Finding Shortest Path in Supply Chain Network." Sustainability 13, no. 7: 4016.
This paper considers a two-agent single machine scheduling problem, with a weighted number of tardy jobs as objectives. Each agent has a finite set of jobs to be processed on a single machine. Parameters like the processing time, the due date, and the weight of jobs are known in advance. The objective is to minimize the weighted number of tardy jobs of the first agent, subject to the upper bound of the weighted number of tardy jobs of the second agent. Two metaheuristics based on Particle Swarm Optimization and Tabu Search are introduced to solve this problem. To establish the performance of the proposed meta-heuristics, a dynamic programming based exact algorithm is developed. To test the validity of the proposed algorithm, a numerical experiment is performed on randomly generated problem instances to compare the performance of the proposed algorithms.
Jiaji Li; Yuvraj Gajpal; Srimantoorao S. Appadoo. Algorithms for a two-agent single machine scheduling problem to minimize weighted number of tardy jobs. Journal of Information and Optimization Sciences 2020, 42, 785 -811.
AMA StyleJiaji Li, Yuvraj Gajpal, Srimantoorao S. Appadoo. Algorithms for a two-agent single machine scheduling problem to minimize weighted number of tardy jobs. Journal of Information and Optimization Sciences. 2020; 42 (4):785-811.
Chicago/Turabian StyleJiaji Li; Yuvraj Gajpal; Srimantoorao S. Appadoo. 2020. "Algorithms for a two-agent single machine scheduling problem to minimize weighted number of tardy jobs." Journal of Information and Optimization Sciences 42, no. 4: 785-811.
A Multi-Depot Green Vehicle Routing Problem (MDGVRP) is considered in this paper. In MDGVRP, Alternative Fuel-powered Vehicles (AFVs) start from different depots, serve customers, and, at the end, return to the original depots. The limited fuel tank capacity of AFVs forces them to visit Alternative Fuel Stations (AFS) for refueling. The objective is to minimize the total carbon emissions. A Two-stage Ant Colony System (TSACS) is proposed to find a feasible and acceptable solution for this NP-hard (Non-deterministic polynomial-time) optimization problem. The distinct characteristic of the proposed TSACS is the use of two distinct types of ants for two different purposes. The first type of ant is used to assign customers to depots, while the second type of ant is used to find the routes. The solution for the MDGVRP is useful and beneficial for companies that employ AFVs to deal with the various inconveniences brought by the limited number of AFSs. The numerical experiments confirm the effectiveness of the proposed algorithms in this research.
Weiheng Zhang; Yuvraj Gajpal; Srimantoorao. S. Appadoo; Qi Wei. Multi-Depot Green Vehicle Routing Problem to Minimize Carbon Emissions. Sustainability 2020, 12, 3500 .
AMA StyleWeiheng Zhang, Yuvraj Gajpal, Srimantoorao. S. Appadoo, Qi Wei. Multi-Depot Green Vehicle Routing Problem to Minimize Carbon Emissions. Sustainability. 2020; 12 (8):3500.
Chicago/Turabian StyleWeiheng Zhang; Yuvraj Gajpal; Srimantoorao. S. Appadoo; Qi Wei. 2020. "Multi-Depot Green Vehicle Routing Problem to Minimize Carbon Emissions." Sustainability 12, no. 8: 3500.
Arshdeep Kaur; Amit Kumar; S.S. Appadoo. Commentary on “A reply to a Note on the paper “A simplified novel technique for solving fully fuzzy linear programming problems””. Journal of Intelligent & Fuzzy Systems 2019, 36, 5685 -5691.
AMA StyleArshdeep Kaur, Amit Kumar, S.S. Appadoo. Commentary on “A reply to a Note on the paper “A simplified novel technique for solving fully fuzzy linear programming problems””. Journal of Intelligent & Fuzzy Systems. 2019; 36 (6):5685-5691.
Chicago/Turabian StyleArshdeep Kaur; Amit Kumar; S.S. Appadoo. 2019. "Commentary on “A reply to a Note on the paper “A simplified novel technique for solving fully fuzzy linear programming problems””." Journal of Intelligent & Fuzzy Systems 36, no. 6: 5685-5691.
In this note, to overcome the limitation of Wei’s method (Int J Fuzzy Syst 17(3):484–489, 2015), a modified linear programming model is proposed for finding the optimal weight vector of the attributes.
Arshdeep Kaur; Amit Kumar; S. S. Appadoo. A Note on “Approaches to Interval Intuitionistic Trapezoidal Fuzzy Multiple Attribute Decision Making with Incomplete Weight Information”. International Journal of Fuzzy Systems 2019, 21, 1010 -1011.
AMA StyleArshdeep Kaur, Amit Kumar, S. S. Appadoo. A Note on “Approaches to Interval Intuitionistic Trapezoidal Fuzzy Multiple Attribute Decision Making with Incomplete Weight Information”. International Journal of Fuzzy Systems. 2019; 21 (3):1010-1011.
Chicago/Turabian StyleArshdeep Kaur; Amit Kumar; S. S. Appadoo. 2019. "A Note on “Approaches to Interval Intuitionistic Trapezoidal Fuzzy Multiple Attribute Decision Making with Incomplete Weight Information”." International Journal of Fuzzy Systems 21, no. 3: 1010-1011.
Akanksha Singh; Amit Kumar; S.S. Appadoo. Mehar ranking method for comparing connection numbers and its application in decision making. Journal of Intelligent & Fuzzy Systems 2018, 35, 5523 -5528.
AMA StyleAkanksha Singh, Amit Kumar, S.S. Appadoo. Mehar ranking method for comparing connection numbers and its application in decision making. Journal of Intelligent & Fuzzy Systems. 2018; 35 (5):5523-5528.
Chicago/Turabian StyleAkanksha Singh; Amit Kumar; S.S. Appadoo. 2018. "Mehar ranking method for comparing connection numbers and its application in decision making." Journal of Intelligent & Fuzzy Systems 35, no. 5: 5523-5528.
Pankaj Gupta; Riccardo Cambini; S. S. Appadoo. Recent advances in optimization theory and applications (RAOTA-2016). Annals of Operations Research 2018, 269, 1 -2.
AMA StylePankaj Gupta, Riccardo Cambini, S. S. Appadoo. Recent advances in optimization theory and applications (RAOTA-2016). Annals of Operations Research. 2018; 269 (1-2):1-2.
Chicago/Turabian StylePankaj Gupta; Riccardo Cambini; S. S. Appadoo. 2018. "Recent advances in optimization theory and applications (RAOTA-2016)." Annals of Operations Research 269, no. 1-2: 1-2.
Gourav Gupta; Amit Kumar; S.S. Appadoo. A note on “Ranking generalized exponential trapezoidal fuzzy numbers based on variance”. Journal of Intelligent & Fuzzy Systems 2016, 31, 213 -215.
AMA StyleGourav Gupta, Amit Kumar, S.S. Appadoo. A note on “Ranking generalized exponential trapezoidal fuzzy numbers based on variance”. Journal of Intelligent & Fuzzy Systems. 2016; 31 (1):213-215.
Chicago/Turabian StyleGourav Gupta; Amit Kumar; S.S. Appadoo. 2016. "A note on “Ranking generalized exponential trapezoidal fuzzy numbers based on variance”." Journal of Intelligent & Fuzzy Systems 31, no. 1: 213-215.