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Pythagorean fuzzy prioritized aggregation operators with priority degrees for multi-criteria decision-making

International Journal of Intelligent Computing and Cybernetics 2022年第4期15卷 510-539页

作者： hafiz muhammad athar farid muhammad Riaz Department of Mathematics University of the PunjabLahorePakistan

Purpose-The authors develop some prioritized operators named Pythagorean fuzzy prioritized averaging operator with priority degrees and Pythagorean fuzzy prioritized geometric operator with priority *** properties of the existing method are routinely compared to those of other current approaches,emphasizing the superiority of the presented work over currently used ***,the impact of priority degrees on the aggregate outcome is thoroughly ***,based on these operators,a decision-making approach is presented under the Pythagorean fuzzy set *** illustrative example related to the selection of the best alternative is considered to demonstrate the efficiency of the proposed ***/methodology/approach-In real-world situations,Pythagorean fuzzy numbers are exceptionally useful for representing ambiguous *** authors look at multi-criteria decision-making issues in which the parameters have a prioritization *** idea of a priority degree is *** aggregation operators are formed by awarding non-negative real numbers known as priority degrees among strict priority ***,the authors develop some prioritized operators named Pythagorean fuzzy prioritized averaging operator with priority degrees and Pythagorean fuzzy prioritized geometric operator with priority ***-The authors develop some prioritized operators named Pythagorean fuzzy prioritized averaging operator with priority degrees and Pythagorean fuzzy prioritized geometric operator with priority *** properties of the existing method are routinely compared to those of other current approaches,emphasizing the superiority of the presented work over currently used ***,the impact of priority degrees on the aggregate outcome is thoroughly ***,based on these operators,a decision-making approach is presented under the Pythagorean fuzzy set *** illustrative example related to t

关键词： Prioritized aggregation operators Priority degrees Pythagorean fuzzy numbers and MCDM

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Multi-Criteria Decision Making Based on Bipolar Picture Fuzzy Operators and New Distance Measures

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Computer Modeling in Engineering & Sciences 2021年第5期127卷 771-800页

作者： muhammad Riaz Harish Garg hafiz muhammad athar farid Ronnason Chinram Department of Mathematics University of the PunjabLahore54590Pakistan School of Mathematics Thapar Institute of Engineering and Technology(Deemed University)Patiala147004India Algebra and Applications Research Unit Division of Computational ScienceFaculty of SciencePrince of Songkla UniversityHat YaiSongkhla90110Thailand Centre of Excellence in Mathematics Bangkok10400Thailand

This paper aims to introduce the novel concept of the bipolar picture fuzzy set(BPFS)as a hybrid structure of bipolar fuzzy set(BFS)and picture fuzzy set(PFS).BPFS is a new kind of fuzzy sets to deal with bipolarity(both positive and negative aspects)to each membership degree(belonging-ness),neutral membership(not decided),and non-membership degree(refusal).In this article,some basic properties of bipolar picture fuzzy sets(BPFSs)and their fundamental operations are *** score function,accuracy function and certainty function are suggested to discuss the comparability of bipolar picture fuzzy numbers(BPFNs).Additionally,the concept of new distance measures of BPFSs is presented to discuss geometrical properties of *** the context of BPFSs,certain aggregation operators(AOs)named as“bipolar picture fuzzy weighted geometric(BPFWG)operator,bipolar picture fuzzy ordered weighted geometric(BPFOWG)operator and bipolar picture fuzzy hybrid geometric(BPFHG)operator”are defined for information aggregation of *** on the proposed AOs,a new multicriteria decision-making(MCDM)approach is proposed to address uncertain real-life ***,a practical application of proposed methodology is also illustrated to discuss its feasibility and applicability.

关键词： Bipolar picture fuzzy set aggregation operators distance measures pattern recognition MCDM

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Estimation of infiltration models parameters and their comparison to simulate the onsite soil infiltration characteristics

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International Journal of Agricultural and Biological Engineering 2019年第3期12卷 84-91页

作者： hafiz Umar farid Zahid Mahmood-Khan Ijaz Ahmad Aamir Shakoor muhammad Naveed Anjum muhammad Mazhar Iqbal muhammad Mubeen muhammad Asghar Department of Agricultural Engineering Bahauddin Zakariya UniversityMultan-Pakistan Center of Excellence in Water Resources Engineering(CEWRE) University of Engineering and TechnologyLahore-Pakistan Division of Hydrology Water-Land Resources in Cold and Arid Regions Cold and Arid Region Environmental and Engineering InstituteChinese Academy of SciencesLanzhou 730000China Graduate School of Water Resources Sungkyunkwan UniversitySuwon-si 2066Korea Department of Environmental Sciences COMSATS Institute of Information TechnologyVehari-Pakistan

Detailed knowledge about soil characteristics and site-specific final steady infiltration rate could help to increase the irrigation water use efficiency and decrease water losses in agricultural *** experiments were conducted on Agricultural Research Farm of Bahauddin Zakariya University,Multan,Pakistan during *** cumulative infiltration depth was measured using double ring infiltrometer at selected six points of the study *** commonly used infiltration models such as Kostikov’s,Philip’s and Horton’s were fitted to the field infiltration data for determination of model parameters and to find the best fit model for the study ***’s infiltration model’s parameters such as empirical constant‘c’and infiltration decay constants‘k’were obtained in the ranges of 0.140-0.290 and 0.307-0.433,***’s infiltration model’s parameters such as sorptivity‘S’and conductivity constant‘A’were found in the ranges of 0.167-0.288 cm/min1/2 and-0.001 to-0.009 cm/min,***,the Horton’s model’s‘parameter‘k’was obtained in the range of-1.619 *** value of infiltration capacity at onset of infiltration(fo)was obtained as 1.744 to 3.491 for all the six *** analysis showed that the infiltration models using the estimated parameters have satisfactory prediction capability at all the selected ***’s model provided the lowest mean values for RMSE(0.235)and highest mean values for ME(94%);and the lowest mean values for MPD(0.127).This indicated that infiltration can be well-described by the Horton’s model at the selected site.

关键词： infiltration characteristics infiltration models parameters estimation perdition capability

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