{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,1]],"date-time":"2026-02-01T05:46:37Z","timestamp":1769924797815,"version":"3.49.0"},"reference-count":25,"publisher":"SAGE Publications","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2023,11,4]]},"abstract":"<jats:p>Researchers in science and engineering face various obstacles due to a lack of specific and full data. Many different approaches have been devised to deal with these restrictive requirements, but two notable schools of thought are the fuzzy set (FS) theory and the rough set (RS) theory, both of which have spawned many extensions and hybridizations. Although RS theory originated from an indiscernibility relation (also known as an equivalence relation in mathematics), emphasis rapidly shifted to similarity or coverings (and their fuzzy analogues). Many other hybrid schemes were suggested with this goal in mind. The gap between those concepts shrank because to this thorough analysis. Fuzzy set theory is a legitimate way to convey the ambiguity of assessment data, yet it is still inadequate for dealing with certain intricate problems in the actual world. In reality, decision makers will undoubtedly provide different kinds of ambiguous and nuanced assessments. Atanassov\u2019s intuitionistic fuzzy set theory broadened the application of fuzzy set theory by imbuing it with an element of uncertainty. Sometimes in real life, you have to deal with a neutral element on top of the indeterminate one. Picture fuzzy sets were developed specifically for this purpose. Membership roles may be positive, neutral, or negative\/refusal. In contrast, hesitant fuzzy sets and its hybrid models are useful when decision makers are on the fence about which option to choose. As a binary relation on a set, a graph is symmetric. It is a staple in mathematical modelling and is used in almost every scientific and technological discipline. Graph theory has been essential in the mathematical modelling and subsequent resolution of several real-world situations. Information about connections between things is often best represented using graph theory, which uses vertices to stand in for the items and edges for the relationships between them. The suggested dynamic algorithm is better to the static approach in dealing with the multidimensional dynamic changes of the hybrid incomplete decision system, according to a series of experiments carried out on nine UCI datasets.<\/jats:p>","DOI":"10.3233\/jifs-232314","type":"journal-article","created":{"date-parts":[[2023,8,22]],"date-time":"2023-08-22T10:10:57Z","timestamp":1692699057000},"page":"7957-7974","source":"Crossref","is-referenced-by-count":2,"title":["A hybrid incomplete decision system using fuzzy sets and rough set theory with varying object sets and values"],"prefix":"10.1177","volume":"45","author":[{"given":"A.","family":"Megala","sequence":"first","affiliation":[{"name":"Department of Mathematics, Nandha Engineering College, Erode, Tamilnadu, India"}]},{"given":"C.","family":"Veeramani","sequence":"additional","affiliation":[{"name":"Department of Applied Science (Mathematics), PSG College of Technology, Coimbatore, Tamilnadu, India"}]}],"member":"179","reference":[{"issue":"8","key":"10.3233\/JIFS-232314_ref1","doi-asserted-by":"crossref","first-page":"3407","DOI":"10.3390\/en16083407","article-title":"Frequency Regulation Strategy of Two-Area Microgrid System with Electric Vehicle Support Using Novel Fuzzy-Based Dual-Stage Controller and Modified Dragonfly Algorithm","volume":"16","author":"Singh","year":"2023","journal-title":"Energies"},{"key":"10.3233\/JIFS-232314_ref2","first-page":"1","article-title":"Analysis and Improvement of Driver\u2019s Ride Comfort by Implementing Optimized Hybrid Semi-Active Vibration Damper with Fuzzy-PID Controller","author":"Kumar","year":"2023","journal-title":"Iranian Journal of Science and Technology, Transactions of Mechanical Engineering"},{"key":"10.3233\/JIFS-232314_ref3","unstructured":"Samhitha B. and Manohar T.G. , Performance Analysis of Fuzzy Logic Controller Based DVR for Power Quality Enhancement, (2023)."},{"key":"10.3233\/JIFS-232314_ref4","doi-asserted-by":"crossref","unstructured":"Kanagaraj N. , An Adaptive Neuro-Fuzzy Inference System to Improve Fractional Order Controller Performance, Intelligent Automation & Soft Computing 35(3) (2023).","DOI":"10.32604\/iasc.2023.029901"},{"key":"10.3233\/JIFS-232314_ref5","doi-asserted-by":"crossref","first-page":"364","DOI":"10.1109\/ICCMSO58359.2022.00076","article-title":"Analysis of a Semi-Active Vibration Absorber based on Magnetorheological Materials for a half-car model","author":"Kumar","year":"2022","journal-title":"2022 International Conference on Computational Modelling, Simulation and Optimization (ICCMSO)"},{"key":"10.3233\/JIFS-232314_ref6","first-page":"746","article-title":"A Bee Colony Optimization Algorithm to Tuning Membership Functions in a Type-1 Fuzzy Logic System Applied in the Stabilization of a DC Motor Speed Controller","author":"Amador-Angulo","year":"2022","journal-title":"International Conference on Hybrid Intelligent Systems"},{"key":"10.3233\/JIFS-232314_ref7","first-page":"1","article-title":"Implementation of a FUZZY logic controller (FLC) for improvement of an Automated Voltage Regulators (AVR) dynamic performance","author":"Mazibukol","year":"2022","journal-title":"2022 IEEE PES\/IAS PowerAfrica"},{"key":"10.3233\/JIFS-232314_ref8","doi-asserted-by":"crossref","unstructured":"Velmurugan G. and Joo Y.H. , Stabilization Analysis for Nonlinear Systems Under Coupled Fuzzy Controller: A Non-PDC Approach, IEEE Transactions on Systems, Man, and Cybernetics: Systems, (2023).","DOI":"10.1109\/TSMC.2023.3274914"},{"key":"10.3233\/JIFS-232314_ref9","doi-asserted-by":"crossref","unstructured":"Qin W. , Shen Y. and Wang L. , Robust H\u221e Control for Markovian-Jump-Parameters Takagi\u2013Sugeno Fuzzy Systems, Complexity 2022 (2022).","DOI":"10.1155\/2022\/5136393"},{"issue":"11","key":"10.3233\/JIFS-232314_ref10","doi-asserted-by":"crossref","first-page":"1824","DOI":"10.4236\/ojapps.2022.1211126","article-title":"Asymptotically Necessary and Sufficient Quadratic Stability Conditions of TS Fuzzy Systems Using Staircase Membership Function and Basic Inequality","volume":"12","author":"Zeng","year":"2022","journal-title":"Open Journal of Applied Sciences"},{"key":"10.3233\/JIFS-232314_ref11","unstructured":"Behmanesh-Fard N. , Linear simultaneous control of nonlinear systems by state feedback based on TS fuzzy model."},{"key":"10.3233\/JIFS-232314_ref12","doi-asserted-by":"crossref","unstructured":"Zheng Q. , Xu S. and Du B. , Asynchronous Nonfragile Mixed H\u221e and L2\u00a0\u2013\u00a0L\u221e Control of Switched Fuzzy Systems with Multiple State Impulsive Jumps, IEEE Transactions on Fuzzy Systems, (2022).","DOI":"10.1109\/TFUZZ.2022.3216983"},{"key":"10.3233\/JIFS-232314_ref13","doi-asserted-by":"crossref","first-page":"778","DOI":"10.1016\/j.matcom.2022.10.004","article-title":"Stability and stabilization analysis of TS fuzzy systems with distributed time-delay using state-feedback control","volume":"205","author":"Bhuvaneshwari","year":"2023","journal-title":"Mathematics and Computers in Simulation"},{"key":"10.3233\/JIFS-232314_ref14","first-page":"309","article-title":"Observer-based Input-Output Finite-Time Control of TS Fuzzy Stochastic Systems","author":"Wang","year":"2022","journal-title":"2022 12th International Conference on Information Science and Technology (ICIST)"},{"key":"10.3233\/JIFS-232314_ref15","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/j.ins.2020.07.020","article-title":"Stability analysis of Takagi\u2013 Sugeno systems using a switched fuzzy Lyapunov function","volume":"543","author":"Elias","year":"2021","journal-title":"Information Sciences"},{"issue":"19-20","key":"10.3233\/JIFS-232314_ref16","doi-asserted-by":"crossref","first-page":"1765","DOI":"10.1177\/1077546320904817","article-title":"Global non-quadratic Lyapunov-based stabilization of T\u2013S fuzzy systems: A descriptor approach","volume":"26","author":"Vafamand","year":"2020","journal-title":"Journal of Vibration and Control"},{"key":"10.3233\/JIFS-232314_ref17","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1016\/j.fss.2018.10.004","article-title":"Stability analysis and synthesis for switched Takagi\u2013Sugeno fuzzy positive systems described by the Roesser model","volume":"371","author":"Wang","year":"2019","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-232314_ref18","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/j.isatra.2019.08.035","article-title":"Stable adaptive probabilistic Takagi\u2013Sugeno\u2013Kang fuzzy controller for dynamic systems with uncertainties","volume":"98","author":"Shaheen","year":"2020","journal-title":"ISA Transactions"},{"key":"10.3233\/JIFS-232314_ref19","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/j.cam.2019.01.022","article-title":"Stability analysis and dynamic output feedback controller design of T\u2013S fuzzy systems with time-varying delays and external disturbances","volume":"358","author":"Zheng","year":"2019","journal-title":"Journal of Computational and Applied Mathematics"},{"issue":"3","key":"10.3233\/JIFS-232314_ref20","doi-asserted-by":"crossref","first-page":"4147","DOI":"10.3233\/JIFS-200262","article-title":"Generalized non-monotonic Lyapunov functions for analysis and synthesis of Takagi-Sugeno fuzzy systems","volume":"39","author":"Coutinho","year":"2020","journal-title":"Journal of Intelligent & Fuzzy Systems"},{"issue":"1","key":"10.3233\/JIFS-232314_ref21","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1109\/MCI.2018.2881644","article-title":"Fuzzy control systems: Past, present and future","volume":"14","author":"Nguyen","year":"2019","journal-title":"IEEE Computational Intelligence Magazine"},{"key":"10.3233\/JIFS-232314_ref22","first-page":"1","article-title":"Membership Function Independent Global Stability Condition for Takagi-Sugeno Fuzzy Systems","author":"Asai","year":"2022","journal-title":"2022 Joint 12th International Conference on Soft Computing and Intelligent Systems and 23rd International Symposium on Advanced Intelligent Systems (SCIS&ISIS)"},{"issue":"2","key":"10.3233\/JIFS-232314_ref23","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1504\/IJMIC.2019.097988","article-title":"Towards a unified stability analysis of continuous-time TS model-based fuzzy control systems","volume":"31","author":"Li","year":"2019","journal-title":"International Journal of Modelling, Identification and Control"},{"issue":"5","key":"10.3233\/JIFS-232314_ref24","doi-asserted-by":"crossref","first-page":"823","DOI":"10.3390\/pr9050823","article-title":"Actuator saturated fuzzy controller design for interval type-2 Takagi-Sugeno fuzzy models with multiplicative noises","volume":"9","author":"Chang","year":"2021","journal-title":"Processes"},{"key":"10.3233\/JIFS-232314_ref25","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1016\/j.ins.2019.08.008","article-title":"A multiple-parameterization approach for local stabilization of constrained Takagi-Sugeno fuzzy systems with nonlinear consequents","volume":"506","author":"Coutinho","year":"2020","journal-title":"Information Sciences"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-232314","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T07:30:00Z","timestamp":1769671800000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-232314"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,4]]},"references-count":25,"journal-issue":{"issue":"5"},"URL":"https:\/\/doi.org\/10.3233\/jifs-232314","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,11,4]]}}}