Abstract
In recent years, more and more attention is paid to the OWA operator in the academy. Growth curve analysis, which is often used in ecosystem studies, also indicates that this growth trend will continue. However, prior literature has not made a big picture to help researchers make clear of the development of this field by identifying the evolution path. The classic main path analysis is an excellent method combining quantitative analysis and qualitative analysis. We conducted the classic main path analysis and its variants on a citation network with 1474 papers to probe the development trajectories and research topics of OWA. We obtained several findings by constructing local and global main path, and multiple main paths. The path results indicate that weight generation and operator generalization run through the overall OWA domain, show that the multiple criteria decision making process assumed in the related research begins to be dynamic and multi-period, and reveal that some theories such as social network theory are introduced into the OWA operator and the applications are also greatly expanded.
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References
Ameri F, Zoej MJV, Mokhtarzade M (2016) Multi-criteria, graph-based road centerline vectorization using ordered weighted averaging operators. Photogrammetric Eng Remote Sens 82(2):107–120
Amin GR, Emrouznejad A (2006) An extended minimax disparity to determine the OWA operator weights. Comput Ind Eng 50(3):312–316
Batagelj V (2003) Efficient algorithms for citation network analysis. https://arxiv.org/abs/cs/0309023
Blanco-Mesa F, León‐Castro E, Merigó JM, Herrera‐Viedma E (2019) Variances with Bonferroni means and ordered weighted averages. Int J Intell Syst 34(11):3020–3045
Bustince H, Galar M, Bedregal B, Kolesarova A, Mesiar R (2013) A new approach to interval-valued Choquet integrals and the problem of ordering in interval-valued fuzzy set applications. IEEE Trans Fuzzy Syst 21(6):1150–1162
Chachi J, Chaji A (2021) An OWA-based approach to quantile fuzzy regression. Comput Ind Eng 159:107498
Chang HY, Ma VC, Liu JS, Lin CW (2020) Examining academic landscape of mobile banking-the lens from main paths. Int J Mobile Commun 18(2):131–157
Chassein A, Goerigk M, Kasperski A, Zieliński P (2020) Approximating combinatorial optimization problems with the ordered weighted averaging criterion. Eur J Oper Res 286(3):828–838
Chen S, Hu Y, Mahadevan S, Deng Y (2014) A visibility graph averaging aggregation operator. Physica A 403:1–12
Chen TY (2015) The inclusion-based TOPSIS method with interval-valued intuitionistic fuzzy sets for multiple criteria group decision making. Appl Soft Comput 26:57–73
Chen Y, Liu P (2014) Multi-attribute decision-making approach based on intuitionistic trapezoidal fuzzy generalized heronian OWA operator. J Intell Fuzzy Syst 27(3):1381–1392
Chiclana F, Herrera-Viedma E, Herrera F, Alonso S (2004) Induced ordered weighted geometric operators and their use in the aggregation of multiplicative preference relations. Int J Intell Syst 19(3):233–255
Coroianu L, Fullér R, Gagolewski M, James S (2020) Constrained ordered weighted averaging aggregation with multiple comonotone constraints. Fuzzy Sets Syst 395:21–39
Cutello V, Montero J (1994) Hierarchies of aggregation operators. Int J Intell Syst 9(11):1025–1045
Emrouznejad A (2008) MP-OWA: the most preferred OWA operator. Knowl Based Syst 21(8):847–851
Emrouznejad A, Marra M (2014) Ordered weighted averaging operators 1988–2014: a citation-based literature survey. Int J Intell Syst 29(11):994–1014
Engemann KJ, Miller HE, Yager RR (1996) Decision making with belief structures: an application in risk management. Int J Uncertain Fuzziness Knowl-Based Syst 4(1):1–25
Filev D, Yager RR (1998) On the issue of obtaining OWA operator weights. Fuzzy Sets Syst 94(2):157–169
Fullér R, Majlender P (2001) An analytic approach for obtaining maximal entropy OWA operator weights. Fuzzy Sets Syst 124(1):53–57
Gao Y, Li X, Li J, Gao Y, Philip SY (2019) Info-trust: a multi-criteria and adaptive trustworthiness calculation mechanism for information sources. IEEE Access 7:13999–14012
García-Jacas CR, Cabrera‐Leyva L, Marrero‐Ponce Y, Suárez‐Lezcano J, Cortés‐Guzmán F, García‐González LA (2018) GOWAWA aggregation operator‐based global molecular characterizations: weighting atom/bond contributions (LOVIs/LOEIs) according to their influence in the molecular encoding. Mol Inf 37(12):1800039
Garg H, Nancy (2018) Linguistic single-valued neutrosophic prioritized aggregation operators and their applications to multiple-attribute group decision-making. J Ambient Intell Humaniz Comput 9(6):1975–1997
Hajjami M, Amin GR (2018) Modelling stock selection using ordered weighted averaging operator. Int J Intell Syst 33(11):2283–2292
He XR, Wu YY, Yu DJ, Merigó JM (2017) Exploring the ordered weighted averaging operator knowledge domain: a bibliometric analysis. Int J Intell Syst 32(11):1151–1166
Herrera F, Herrera-Viedma E, Chiclana F (2003) A study of the origin and uses of the ordered weighted geometric operator in multicriteria decision making. Int J Intell Syst 18(6):689–707
Hosseini B, Kiani K (2018) A robust distributed big data clustering-based on adaptive density partitioning using apache spark. Symmetry 10(8):342
Hummon NP, Dereian P (1989) Connectivity in a citation network: the development of DNA theory. Social Networks 11(1):39–63
Jin L (2017) Vector t-norms with applications. IEEE Trans Fuzzy Syst 25(6):1644–1654
Jin L, Kalina M, Qian G (2017) Discrete and continuous recursive forms of OWA operators. Fuzzy Sets Syst 308:106–122
Jin L, Mesiar R, Yager R, Qin J (2019) Dynamic weights allocation according to uncertain evaluation information. Int J Gen Syst 48(1):33–47
Jung H, Lee BG (2020) Research trends in text mining: semantic network and main path analysis of selected journals. Expert Syst Appl 162:113851
León-Castro E, Espinoza-Audelo LF, Merigó JM, Herrera-Viedma E, Herrera F (2021) Measuring volatility based on ordered weighted average operators: the case of agricultural product prices. Fuzzy Sets Syst 422:161–176
Li B, Ding J, Yin Z, Li K, Zhao X, Zhang L (2021) Optimized neural network combined model based on the induced ordered weighted averaging operator for vegetable price forecasting. Expert Syst Appl 168:114232
Li P, Liu J, Wei C (2019) A dynamic decision making method based on gm (1, 1) model with pythagorean fuzzy numbers for selecting waste disposal enterprises. Sustainability 11(20):5557
Liang H, Wang JJ, Xue Y, Cui X (2016) IT outsourcing research from 1992 to 2013: a literature review based on main path analysis. Inf Manag 53(2):227–251
Liu JS, Lu LY (2012) An integrated approach for main path analysis: development of the Hirsch index as an example. J Am Soc Inform Sci Technol 63(3):528–542
Liu JS, Lu LY, Lu WM, Lin BJ (2013) Data envelopment analysis 1978–2010: a citation-based literature survey. Omega 41(1):3–15
Liu JS, Lu LY, Ho MHC (2019) A few notes on main path analysis. Scientometrics 119(1):379–391
Liu P (2016) The aggregation operators based on archimedean t-conorm and t-norm for single-valued neutrosophic numbers and their application to decision making. Int J Fuzzy Syst 18(5):849–863
Liu P, Chu Y, Li Y (2015) The multi-attribute group decision-making method based on the interval grey uncertain linguistic generalized hybrid averaging operator. Neural Comput Appl 26(6):1395–1405
Liu XW, Chen LH (2004) On the properties of parametric geometric OWA operator. Int J Approx Reason 35(2):163–178
Liu XW, Han SL (2008) Orness and parameterized RIM quantifier aggregation with OWA operators: a summary. Int J Approx Reason 48(1):77–97
Liu X, Tao Z, Chen H, Zhou L (2016) A magdm method based on 2-tuple linguistic heronian mean and new operational laws. Int J Uncertain Fuzziness Knowl-Based Syst 24(04):593–627
Liu Z, Xiao F (2019) An evidential aggregation method of intuitionistic fuzzy sets based on belief entropy. IEEE Access 7:68905–68916
Lin J, Chen R (2020) Multiple attribute group decision making based on nucleolus weight and continuous optimal distance measure. Knowl Based Syst 195:105719
Llamazares B (2007) Choosing OWA operator weights in the field of social choice. Inf Sci 177(21):4745–4756
Llamazares B (2019) SUOWA operators: a review of the state of the art. Int J Intell Syst 34(5):790–818
Ma L, Cong X (2019) Social stability risk assessment of NIMBY major projects by OWA, matter-element, and cloud model. J Intell Fuzzy Syst 36(3):2545–2556
Ma VC, Liu JS (2016) Exploring the research fronts and main paths of literature: a case study of shareholder activism research. Scientometrics 109(1):33–52
Mardani A, Nilashi M, Zavadskas EK, Awang SR, Zare H, Jamal NM (2018) Decision making methods based on fuzzy aggregation operators: three decades review from 1986 to 2017. Int J Inform Technol Decis Mak 17(02):391–466
Merigó JM (2012) Probabilities in the OWA operator. Expert Syst Appl 39(13):11456–11467
Merigó JM, Casanovas M (2011) Decision-making with distance measures and induced aggregation operators. Comput Ind Eng 60(1):66–76
Merigó JM, Gil-Lafuente AM (2009) The induced generalized OWA operator. Inf Sci 179(6):729–741
Merigó JM, Gil-Lafuente AM (2010) New decision-making techniques and their application in the selection of financial products. Inf Sci 180(11):2085–2094
Merigó JM, Gil-Lafuente A, Zhou LG, Chen HY (2012) Induced and linguistic generalized aggregation operators and their application in linguistic group decision making. Group Decis Negot 21(4):531–549
Merigó JM, Xu YJ, Zeng SZ (2013) Group decision making with distance measures and probabilistic information. Knowl Based Syst 40:81–87
Mesiar R, Stupňanová A, Yager RR (2015) Generalizations of OWA operators. IEEE Trans Fuzzy Syst 23(6):2154–2162
Meyer PS, Yung JW, Ausubel JH (1999) A primer on logistic growth and substitution: the mathematics of the Loglet Lab software. Technol Forecast Soc Chang 61(3):247–271
Mitchell HB, Estrakh DD (1998) An OWA operator with fuzzy ranks. Int J Intell Syst 13(1):69–81
Mitchell HB, Schaefer PA (2000a) Multiple priorities in an induced ordered weighted averaging operator. Int J Intell Syst 15(4):317–327
Mitchell HB, Schaefer PA (2000b) On ordering fuzzy numbers. Int J Intell Syst 15(11):981–993
O’Hagan M (1988), October Aggregating template or rule antecedents in real-time expert systems with fuzzy set logic. In Twenty-second Asilomar Conference on Signals, Systems and Computers (Vol. 2, pp. 681–689). IEEE
Oukil A, Govindaluri SM (2017) A systematic approach for ranking football players within an integrated DEA-OWA framework. Manag Decis Econ 38(8):1125–1136
Pelaez JI, Dona JM (2003) Majority additive-ordered weighting averaging: a new neat ordered weighting averaging operator based on the majority process. Int J Intell Syst 18(4):469–481
Peng X, Yuan H (2016) Fundamental properties of pythagorean fuzzy aggregation operators. Fundam Inform 147(4):415–446
Pérez-Arellano LA, León-Castro E, Avilés-Ochoa E, Merigó JM (2019) Prioritized induced probabilistic operator and its application in group decision making. Int J Mach Learn Cybernet 10(3):451–462
Pu X, Jin L, Mesiar R, Yager RR (2019) Continuous parameterized families of RIM quantifiers and quasi-preference with some properties. Inf Sci 481:24–32
Reformat M, Yager RR (2008) Building ensemble classifiers using belief functions and OWA operators. Soft Comput 12(6):543–558
Schaefer PA, Mitchell HB (1999) A generalized OWA operator. Int J Intell Syst 14(2):123–143
Sun T, Wang S, Jiang S, Xu B, Han X, Lai X, Zheng Y (2022) A cloud-edge collaborative strategy for capacity prognostic of lithium-ion batteries based on dynamic weight allocation and machine learning. Energy 239:122185
Tian ZP, Nie RX, Wang JQ, Zhang HY (2018) A two-fold feedback mechanism to support consensus-reaching in social network group decision-making. Knowl Based Syst 162:74–91
Torra V (2004) OWA operators in data modeling and reidentification. IEEE Trans Fuzzy Syst 12(5):652–660
Vernieuwe H, De Baets B, Verhoest NE (2020) A mathematical morphology approach for a qualitative exploration of drought events in space and time. Int J Climatol 40(1):530–543
Wang H, Mo H, Sadiq R, Hu Y, Deng Y (2015) Ordered visibility graph weighted averaging aggregation operator: a methodology based on network analysis. Comput Ind Eng 88:181–190
Wang JQ, Peng L, Zhang HY, Chen XH (2014) Method of multi-criteria group decision-making based on cloud aggregation operators with linguistic information. Inf Sci 274:177–191
Wang JS, Cao CD, Zeng SZ, Balezentis T (2019) Weighted induced aggregation euclidean distance operators for the decision making of robot selection. Transform Bus Econ 18(1):81–94
Wang J, Merigó JM, Jin L (2017) S-H OWA operators with moment measure. Int J Intell Syst 32(1):51–66
Wang YM, Parkan C (2005) A minimax disparity approach for obtaining OWA operator weights. Inf Sci 175(1–2):20–29
Wang YM, Luo Y, Liu X (2007) Two new models for determining OWA operator weights. Comput Ind Eng 52(2):203–209
Wang Z, Jin L, Yager RR, Mesiar R, Kalina M, Špirková J, Borkotokey S (2019b) Ordered weighted Sum in infinite sequences environment with applications. J Intell Fuzzy Syst 36(3):2787–2792
Xian SD, Guo HL, Chai JH (2019) Intuitionistic fuzzy linguistic induced generalized hybrid weighted averaging operator and its application to take targeted measures in poverty alleviation. Comput Appl Math 38(3):134
Xiao Y, Lu LY, Liu JS, Zhou Z (2014) Knowledge diffusion path analysis of data quality literature: a main path analysis. J Informetr 8(3):594–605
Xu ZS (2005) An overview of methods for determining OWA weights. Int J Intell Syst 20(8):843–865
Xu ZS (2009) Fuzzy harmonic mean operators. Int J Intell Syst 24(2):152–172
Xu ZS, Chen J (2008) An overview of distance and similarity measures of intuitionistic fuzzy sets. Int J Uncertain Fuzziness Knowl-Based Syst 16(04):529–555
Xu ZS, Chen J (2008b) Ordered weighted distance measure. J Syst Sci Syst Eng 17(4):432–445
Xu ZS, Da WL (2002) The ordered weighted geometric averaging operators. Int J Intell Syst 17(7):709–716
Xu ZS, Da QL (2003) An overview of operators for aggregating information. Int J Intell Syst 18(9):953–969
Yager RR (1988) On ordered weighted averaging aggregation operators in multicriteria decision-making. IEEE Trans Syst Man Cybernetics 18(1):183–190
Yager RR (1993) Families of OWA operators. Fuzzy Sets Syst 59(2):125–148
Yager RR (2007) Centered OWA operators. Soft Comput 11(7):631–639
Yager RR, Filev DP (1999) Induced ordered weighted averaging operators. IEEE Trans Syst Man Cybern Part B-Cybern 29(2):141–150
Yan J, Tseng FM, Lu LY (2018) Developmental trajectories of new energy vehicle research in economic management: main path analysis. Technol Forecast Soc Chang 137:168–181
Yu DJ (2015) A scientometrics review on aggregation operator research. Scientometrics 105(1):115–133
Yu D, Pan T (2021a) Tracing the main path of interdisciplinary research considering citation preference: a case from blockchain domain. J Informetrics 15(2):101136
Yu D, Pan T (2021b) Tracing knowledge diffusion of TOPSIS: a historical perspective from citation network. Expert Syst Appl 168:114238
Zeng SZ (2017) Pythagorean fuzzy multiattribute group decision making with probabilistic information and OWA approach. Int J Intell Syst 32(11):1136–1150
Zeng SZ, Su WH (2011) Intuitionistic fuzzy ordered weighted distance operator. Knowl Based Syst 24(8):1224–1232
Zeng SZ, Su WH (2012) Linguistic induced generalized aggregation distance operators and their application to decision making. Econ Comput Econ Cybern Stud Res 46(2):155–172
Zeng SZ, Merigó JM, Su WH (2013) The uncertain probabilistic OWA distance operator and its application in group decision making. Appl Math Model 37(9):6266–6275
Zeng S, Xiao Y (2018) A method based on TOPSIS and distance measures for hesitant fuzzy multiple attribute decision making. Technol Econ Dev Econ 24(3):969–983
Zhang X, Xu ZS (2014) Extension of TOPSIS to multiple criteria decision making with pythagorean fuzzy sets. Int J Intell Syst 29(12):1061–1078
Zhou LG, Chen HY (2011) Continuous generalized OWA operator and its application to decision making. Fuzzy Sets Syst 168(1):18–34
Zhou L, Wang Y, Jiang Y (2018) Investment project assessment by a MAGDM method based on the ranking of interval type-2 fuzzy sets. J Intell Fuzzy Syst 35(2):1875–1888
Zhou SM, Chiclana F, John RI, Garibaldi JM (2008) Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers. Fuzzy Sets Syst 159(24):3281–3296
Zhu C, Jin L, Mesiar R, Yager RR, Paternain D, Bustince H (2019) Nested formulation paradigms for induced ordered weighted averaging aggregation for decision-making and evaluation. Int J Intell Syst 34(11):3046–3057
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Yu, D., Pan, T., Xu, Z. et al. Exploring the knowledge diffusion and research front of OWA operator: a main path analysis. Artif Intell Rev 56, 12233–12255 (2023). https://doi.org/10.1007/s10462-023-10462-y
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DOI: https://doi.org/10.1007/s10462-023-10462-y