Mathematical Approach to Vagueness

نویسنده

  • Angel Garrido
چکیده

From 1920, when Lukasiewicz established the 3-valued logic, many other versions have been made, with the purpose of improving or generalizing the precedent system. Fuzzy Logic departs from the multi-valued logic point of view, with real truth values in the closed unit interval. Our paper deals, basically, with analogies and differences between fuzzy and rough characters. Therefore, it belongs to a relatively new field: Fuzzy/Rough Mathematical Analysis. The Fuzzy Theory was initiated by Lofti A. Zadeh, in 1965, and the Rough Theory by Zdzislaw Pawlak, in 1981-82. As general purpose, to obtain a way to model flexible restrictions constructed from vague pieces of information. From then, great advances have followed, not only in theoretical aspects, but in applications. We attempt to give a clear vision of the foundations and applications of such very related, but essentially different, theories. Mathematics Subject Classification: 03E72, 94D05, 93C41, 68727

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

DESIGN AND IMPLEMENTATION OF FUZZY EXPERT SYSTEM FOR REAL ESTATE RECOMMENDATION

<span style="color: #000000; font-family: Tahoma, sans-serif; font-size: 13px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: justify; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; display: inline !important; float: none; backgro...

متن کامل

Towards Supply Chain Planning Integration: Uncertainty Analysis Using Fuzzy Mathematical Programming Approach in a Plastic Forming Company

Affected by globalization and increased complexity, supply chain managers have learned about the importance of Sales and Operations Planning (S&OP). However, in large scale supply chains, S&OP has received little attention, by both academics and practitioners. The purpose of this manuscript is to investigate the advantages of S&OP process using a mathematical modeling approach in a large scale ...

متن کامل

DESIGN AND IMPLEMENTATION OF FUZZY EXPERT SYSTEM FOR REAL ESTATE RECOMMENDATION

<span style="color: #000000; font-family: Tahoma, sans-serif; font-size: 13px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: justify; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; display: inline !important; float: none; backgro...

متن کامل

Roughness in G-modules

Rough set theory is a generalisation of classical set theory. It is an effective mathematical approach to deal with vagueness and ambiguity in information systems. Combining this theory with rough algebraic structures is a recent trend in the area of mathematical research. In this paper we consider G -module as the universal set and we introduce the notion of rough G -module with respect to a G...

متن کامل

Resolution Spaces: A Topological Approach to Similarity

We argue that in order to reason with similarity we need to model the concept of discriminating power. We offer a simple topological notion called resolution space that provides a rich mathematical framework for reasoning with limited discriminating power avoiding the vagueness paradox.

متن کامل

Closed loop supply chain network design with fuzzy tactical decisions

One of the most strategic and the most significant decisions in supply chain management is reconfiguration of the structure and design of the supply chain network. In this paper, a closed loop supply chain network design model is presented to select the best tactical and strategic decision levels simultaneously considering the appropriate transportation mode in activated links. The strategic de...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007