本文選題：對(duì)偶猶豫模糊集 + 對(duì)偶猶豫模糊概率�。� 參考：《南昌大學(xué)》2017年碩士論文

【摘要】：作為模糊集的擴(kuò)展,對(duì)偶猶豫模糊集允許其隸屬函數(shù)與非隸屬函數(shù)為0與1之間的一些可能值的集合,以此來(lái)滿足不同專家對(duì)相同方案的不同意見(jiàn).近年來(lái),對(duì)偶猶豫模糊集受到越來(lái)越多學(xué)者的關(guān)注,一些學(xué)者獲得了一些比較好的結(jié)果.這些成果在諸如聚類分析,近似推理,圖像處理,醫(yī)療診斷,決策和信息集成等方面都有著十分重要的應(yīng)用.因此研究對(duì)偶猶豫模糊集的多屬性決策及應(yīng)用具有十分重要的理論意義和實(shí)踐意義.本文主要研究對(duì)象是對(duì)偶猶豫模糊集,主要研究?jī)?nèi)容和創(chuàng)新性工作包括:第一章引論部分.本部分主要介紹了對(duì)偶猶豫模糊集理論與應(yīng)用的歷史背景、現(xiàn)狀、對(duì)偶猶豫模糊集的有關(guān)概念.第二章凸對(duì)偶猶豫模糊集的集成.本部分首先在對(duì)偶猶豫模糊集的基礎(chǔ)上引入凸的概念,并研究其相關(guān)性質(zhì),然后,通過(guò)集成函數(shù)對(duì)凸對(duì)偶猶豫模糊元和凸對(duì)偶猶豫模糊集進(jìn)行集成來(lái)研究對(duì)偶猶豫模糊集的保凸性.第三章對(duì)偶猶豫模糊概率.本部分基于直覺(jué)模糊數(shù)的概念,提出對(duì)偶猶豫模糊數(shù),并在此基礎(chǔ)上介紹了對(duì)偶猶豫模糊概率,并給出對(duì)偶猶豫模糊概率的相關(guān)性質(zhì)以及在色盲問(wèn)題上的應(yīng)用.第四章對(duì)偶擴(kuò)展猶豫模糊集.本部分基于對(duì)偶猶豫模糊集提出對(duì)偶擴(kuò)展猶豫模糊集的概念,并給出了對(duì)偶擴(kuò)展猶豫模糊元的基本運(yùn)算和性質(zhì).最后,本章給出了對(duì)偶擴(kuò)展猶豫模糊集的相關(guān)系數(shù),并運(yùn)用于投資問(wèn)題.第五章高階對(duì)偶猶豫模糊集的距離測(cè)度.本部分分析了對(duì)偶猶豫模糊集的已有相關(guān)距離測(cè)度的缺點(diǎn),并提出新的測(cè)度;在此基礎(chǔ)上,提出高階對(duì)偶猶豫模糊集,并給出高階對(duì)偶猶豫模糊距離測(cè)度,并運(yùn)用于信息系統(tǒng)方案評(píng)估問(wèn)題.第六章結(jié)論和展望.本部分總結(jié)了文章的主要工作和創(chuàng)新點(diǎn),并討論了今后研究工作展望.
[Abstract]:As the extension of the fuzzy set, the dual hesitant fuzzy set allows its membership function and the non subordinate function to be a set of possible values between 0 and 1, in order to meet the different opinions of the different experts on the same scheme. In recent years, more and more scholars have paid more attention to the dual hesitant fuzzy set, and some scholars have obtained some better results. Some achievements have very important applications in such aspects as clustering analysis, approximate reasoning, image processing, medical diagnosis, decision making and information integration. Therefore, it is of great theoretical and practical significance to study the multi attribute decision making and application of dual hesitant fuzzy sets. The content and innovative work include: the introduction of the first chapter. This part mainly introduces the historical background of the dual hesitant fuzzy set theory and application, the present situation, the related concepts of the dual hesitant fuzzy set. The second chapter is the integration of the convex dual hesitant fuzzy sets. And then, the convexity of dual hesitant fuzzy sets is integrated through integrated functions to study the convexity of dual hesitant fuzzy sets. The third chapter is dual hesitant fuzzy probability. Based on the concept of intuitionistic fuzzy numbers, the dual hesitant fuzzy number is proposed, and the dual hesitation fuzzy number is introduced on this basis. The correlation property of dual hesitant fuzzy probability and its application on color blindness are given. The fourth chapter is a dual extended hesitant fuzzy set. Based on the dual hesitant fuzzy set, the concept of dual extended hesitant fuzzy sets is proposed, and the basic operations and properties of the dual extended hesitant fuzzy element are given. Finally, the duality is given in this chapter. We extend the correlation coefficient of the hesitant fuzzy set and apply it to the investment problem. The fifth chapter is the distance measure of the high order dual hesitant fuzzy set. This part analyzes the shortcomings of the relative distance measure of the dual hesitant fuzzy set and proposes a new measure. On this basis, the high order duality hesitant fuzzy set is proposed and the high order dual hesitant fuzzy distance is given. In the sixth chapter, the main work and innovation of the article are summarized, and the future research work is also discussed.
【學(xué)位授予單位】：南昌大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：O159;O225

【參考文獻(xiàn)】

相關(guān)期刊論文 前3條

1 呂印超;郭嗣琮;;直覺(jué)模糊集的距離測(cè)度[J];模糊系統(tǒng)與數(shù)學(xué);2011年05期

2 趙法信;;基于區(qū)間值直覺(jué)模糊集的距離測(cè)度[J];微電子學(xué)與計(jì)算機(jī);2010年02期

3 徐澤水;;區(qū)間直覺(jué)模糊信息的集成方法及其在決策中的應(yīng)用[J];控制與決策;2007年02期

相關(guān)碩士學(xué)位論文 前1條

1 王銀軍;基于直覺(jué)模糊集理論距離測(cè)度的多屬性決策方法[D];閩南師范大學(xué);2013年

，

本文編號(hào)：2072794