主講人：辛小龍,、 Arsham Borumand Saeid,、Marjan Kuchaki Rafsanjani,、陳婷

時(shí) 間：2024年7月27日8:30-12:05

舉辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院

會(huì)議形式：圖書館南樓一樓東報(bào)告廳

主講人簡介：

辛小龍,，西北大學(xué)數(shù)學(xué)學(xué)院教授,，博士生導(dǎo)師。目前主要從事模糊邏輯,、邏輯代數(shù),、序代數(shù)及不確定性數(shù)學(xué)理論等方向的研究工作。在國內(nèi)外學(xué)術(shù)刊物發(fā)表論文150余篇(SCI收錄80余篇,，EI收錄50余篇),，共招收培養(yǎng)代數(shù)學(xué)和信息論與密碼學(xué)方向的碩士研究生60余名，博士研究生23名,。近年共主持國家自然科學(xué)基金面上項(xiàng)目和國家外專項(xiàng)目等國家級(jí)項(xiàng)目3項(xiàng)目,，教育部留學(xué)回國人員基金項(xiàng)目、國家天元數(shù)學(xué)會(huì)議基金項(xiàng)目,、陜西省自然科學(xué)基金項(xiàng)目等國家和省部級(jí)項(xiàng)目10余項(xiàng),，主持并獲得陜西省高等學(xué)校科技進(jìn)步獎(jiǎng)一等獎(jiǎng)2項(xiàng),、陜西省科學(xué)技術(shù)獎(jiǎng)二等獎(jiǎng)1項(xiàng),、陜西省優(yōu)秀教學(xué)成果獎(jiǎng)二等獎(jiǎng)1項(xiàng)、陜西省精品課程《數(shù)學(xué)建?！氛n程建設(shè)項(xiàng)目1項(xiàng),。2019年在科學(xué)出版社出版專著“邏輯代數(shù)上的非概率測度”1部,，2014年，在高等教育出版社出版教材“信息論與編碼理論”,；2007年出版,，2012年再版系列教材“高等數(shù)學(xué)”、“線性代數(shù)”,、“概率論與數(shù)理統(tǒng)計(jì)”,。

Arsham Borumand Saeid，伊朗克爾曼沙希德·巴霍納爾大學(xué)教授,，主要研究泛代數(shù),、邏輯代數(shù)、超代數(shù)和模糊集理論及其應(yīng)用?，F(xiàn)為《Journal of Mahani Mathematical Research》,、《Transactions on Fuzzy Sets and Systems》等期刊的主編，《Iranian Journal of Fuzzy System》,、《Fuzzy systems and applications》,、《Journal of Computational algebras》、《Journal of Algebraic Hyperstructures and Logical Algebras》,、《Journal of Mahani Mathematical Research》,、《Scienti?c Journals International (SJI)(Math. Statistics)》、《International Journal of Advanced Intelligence Paradigms》,、《Indian Journals of Science and Technology》,、《Int. J. Applied Math & Stat.》、《Journal of Statistics and Mathematics》,、《Fuzzy systems and applications》等期刊的編委,。在《Fuzzy Sets and Systems》、《Trans. Fuzzy Sets Syst》,、《Soft Computing》,、《Math. Slovaca》、《Journal of Multiple-Valued Logic and Soft Computing》等期刊發(fā)表論文180余篇,，SCI收錄80余篇,。參加國內(nèi)外學(xué)術(shù)會(huì)議并做報(bào)告50余次，主持各類科技項(xiàng)目30余項(xiàng),，多次榮獲克爾曼沙希德·巴霍納爾大學(xué)最成功研究者獎(jiǎng),，2011年和2020年兩次榮獲伊朗克爾曼省最高研究者獎(jiǎng)。

Marjan Kuchaki Rafsanjani,，伊朗克爾曼沙希德·巴霍納爾大學(xué)數(shù)學(xué)與計(jì)算機(jī)學(xué)院計(jì)算機(jī)科學(xué)系的終身教授?，F(xiàn)任《模糊集與系統(tǒng)》、《人工智能的工程應(yīng)用》等多個(gè)國際期刊的評(píng)審員,。在國際期刊上發(fā)表論文90余篇,，擔(dān)任導(dǎo)師指導(dǎo)博士5人,，研究生學(xué)生50余人。她曾八次榮獲最優(yōu)秀研究者獎(jiǎng),。她的主要研究領(lǐng)域是計(jì)算機(jī)網(wǎng)絡(luò)（移動(dòng)自組織網(wǎng)絡(luò),、無線傳感器網(wǎng)絡(luò)、無線可充電傳感器網(wǎng)絡(luò),、車載自組織網(wǎng)絡(luò),、飛行自組織網(wǎng)絡(luò)）、機(jī)器學(xué)習(xí),、網(wǎng)絡(luò)安全,、網(wǎng)格和云計(jì)算、人工智能,、智能系統(tǒng),、生物信息學(xué)、軟計(jì)算,、物聯(lián)網(wǎng),。

陳婷，統(tǒng)計(jì)學(xué)博士,，講師,，中共黨員。主講課程：概率論與數(shù)理統(tǒng)計(jì),、大數(shù)據(jù)技術(shù)概論,、臨床試驗(yàn)統(tǒng)計(jì)學(xué)等,。研究方向包括數(shù)理統(tǒng)計(jì),，應(yīng)用統(tǒng)計(jì)。研究內(nèi)容主要為復(fù)雜數(shù)據(jù)分析,，中介分析,，機(jī)器學(xué)習(xí)。參與國家自然科學(xué)基金2項(xiàng),，主持河南省科技廳項(xiàng)目1項(xiàng),。在統(tǒng)計(jì)學(xué)及數(shù)學(xué)等相關(guān)期刊如《中國科學(xué)·數(shù)學(xué)》、《Communications in Statistics》等國內(nèi)外雜志上發(fā)表研究型論文6篇,。指導(dǎo)學(xué)生參與“全國大學(xué)生市場調(diào)查與分析大賽”獲國家三等獎(jiǎng)1項(xiàng),，河南省一等獎(jiǎng)1項(xiàng)

講座題目：

A unified framework and common model for non-classical logic—Pseudo L-algebras

講座內(nèi)容：In [W. Rump, L-algebras, self-similarity, and l-groups, Journal of Algebra 320(2008) 2328-2348], the concept of L-algebras was introduced by Rump, which form the algebraic solutions of the quantum Yang-Baxter equation.

In this talk, we firstly introduce generalized structures of L-algebras, called pseudo L-algebras, which are the multiplication reduction of pseudo hoops and are structures combining two L-algebras with one compatible order. We prove that every pseudo hoop gives rise to a pseudo L-algebra and every pseudo effect algebra gives rise to a pseudo L-algebra. The self-similarity is the most important property of an L-algebra L, which guarantees to induce a multiplication on L. We introduce a notion of self-similar pseudo L-algebras and prove that a self-similar pseudo L-algebra becomes an L-algebra if and only if the multiplication is commutative.

Secondly, we use pseudo L-algebra to unify several important classes of fuzzy logic and quantum logic. We get some interesting results: (1) Every ortho-pseudo Heyting algebra is a pseudo L-algebra, which shows that pseudo L-algebras are a generalized algebraic model of non-commutative intuitionistic logic. (2) Each pseudo-MV algebra is a pseudo L-algebra, which means that pseudo L-algebras are a generalized algebraic model of non-commutative Lukasiewicz logic. (3) Every lattice-ordered pseudo effect algebra gives rise to a pseudo L-algebra and every pseudo orthomodular lattice is a pseudo L-algebra. The results shows that pseudo L-algebras are a generalized algebraic model of non-commutative quantum logic.

Finally, we use self-similar pseudo L-algebras as common model of non-classical logic. For this topic, some interesting results are obtained: (1) Every self-similar pseudo L-algebra is a pseudo BCK-algebra. (2) Every self-similar pseudo L-algebra with a negation is a pseudo residuated lattice. (3) Every self-similar pseudo L-algebra is a pseudo-BE algebra. These results indicate that self-similar pseudo L-algebras form the common algebraic model of combinatorial logic, substructure logic and basic logic.

講座題目：Extensions of Z?ideals in MV ?algebras

講座內(nèi)容：In this talk, we introduce a special types of Z?ideals in MV ?algebras and delve into their properties. These particular ideals are thoroughly examined within the context of MV ?chains, semi-simple MV ?algebras and Hyperarchimedean structures. Furthermore, we provide characterizations for these ideals, offering equivalent definitions that enhance our understanding of their nature. Our investigation also encompasses the relationships between these special Z?ideals and other types of ideals, such as the minimal prime ideals and the maximal ideals. Overall, this paper aims to provide a comprehensive analysis of special Z?ideals in MV?algebras.

講座題目：Fuzzy-Metaheuristic-Swarm Cluster-based Routing Schemes for Sustainable Smart Cities

講座內(nèi)容：With the development of the last technologies and changes in human life, the wireless sensor networks are widely used. The sensors are integrated in a way that produces big data. The sensor system creates several challenges, which include getting actual information from massive amount of data with high accuracy, increasing processing efficiency, reducing power consumption, providing a reliable route toward destination using minimum bandwidth, and so on. This talk focuses on recent developments in wireless sensor networks (WSNs), cluster-based routing protocols in WSNs as well as wireless rechargeable sensor networks (WRSNs) and their role in future smart cities will be highlighted. On the other hand, optimization techniques (metaheuristic and swarm intelligence algorithms), fuzzy logic and their combination have been used to design efficient methods for applications in smart cities. Achieving a sustainable state in smart cities would require ongoing monitoring and evaluation of all activities in different dimensions. Hence, it is essential to use smart systems and adaptable, reliable, and controllable schemes in all dimensions of smart cities. Finally, we mention to one of our last research projects entitled CFMCRS (calibration fuzzy-metaheuristic clustering routing scheme) simultaneous in on-demand WRSNs for sustainable smart city.

講座題目：統(tǒng)計(jì)與大數(shù)據(jù)的關(guān)系

講座內(nèi)容：統(tǒng)計(jì)與大數(shù)據(jù)基本概念；統(tǒng)計(jì)定義及發(fā)展歷程,；大數(shù)據(jù)定義及特點(diǎn),；統(tǒng)計(jì)與大數(shù)據(jù)內(nèi)在聯(lián)系；統(tǒng)計(jì)在大數(shù)據(jù)處理中作用與價(jià)值,；大數(shù)據(jù)對(duì)統(tǒng)計(jì)學(xué)的挑戰(zhàn)與機(jī)遇,；傳統(tǒng)統(tǒng)計(jì)學(xué)方法局限性分析,；未來發(fā)展趨勢(shì)及挑戰(zhàn)應(yīng)對(duì)策略；跨學(xué)科合作與創(chuàng)新思路探討,。