**Special Sessions**

Proposals for special sessions focusing on fundamental theories and innovative applications of fuzzy sets are welcome. Submission of proposals should include a short description of the session, its relevance to NAFIPS 2012, and a list of potential contributors. Special sessions are open to all participants.

The following special sessions have been approved.
Papers for special sessions should be submitted directly to organizers of the sessions.

**Basic and Advanced Computing with Words**

Jerry Mendel, Mohammad Reza Rajati, Dongrui Wu

email: jmmprof 'at' ca.rr.com, rajati 'at' usc.edu, drwu09 'at' gmail.com

Computing with Words (CW or CWW) is a paradigm of computation whose objects are fuzzy set models of words. Although the phrase was formally coined by Zadeh in his 1996 paper “Fuzzy Logic=Computing with Words,” it seems that fuzzy logic was mainly meant to be employed in solving CWW problems at the very beginning of its inception. There has been a lot of controversy about the meaning of CWW, suggesting that the equality in the title of Zadeh’s seminal paper is a “fuzzy” one. In his recent works, Zadeh distinguishes two types of CWW: Basic CWW and Advanced CWW. In Basic CWW problems, information carriers are numbers, intervals, and words. Propositions are simple “assignment” propositions like “x is between 3 and 4”, “x is very small”, or “If x is high, then y is low”. In advanced CWW problems, information carriers can also be more complicated natural language propositions involving modifiers, linguistic probabilities, truth values, possibilistic constraints, and etc.
The goal of this special session is to highlight the recent research on various CWW paradigms and applications, and introduce the researchers the state of the art of research on Advanced CWW problems.

The topics of particular interest to the session include but are not limited to: Fuzzy Set Models of Words
• Linguistic and Psychological Aspects of CWW
• New Paradigms of CWW
• CWW in Humanities and Soft Sciences
• Formal Theories of CWW
• Knowledge Mining and Knowledge Representation for CWW
• Validation of CWW Paradigms
• Real Life Applications of CWW
• CWW and Soft Computing Techniques (Neural Networks, Evolutionary Algorithms, Probabilistic Reasoning, Agent Based Systems)
• Type-2 Fuzzy Sets and CWW
• Advanced CWW
• Formal Theories of Truth and Advanced CWW
• Relationships between Linguistic Truth, Probability, and Usuality and CWW
• Automated Approximate Reasoning and CWW

**Fuzziness in our Social and Cultural Life**

Rudi Seising, Veronica Sanz

email: rudolf.seising 'at' softcomputing.es, veronica.sanz 'at' berkeley.edu

Fuzzy Sets have been used and applied in many fields of science and technology. Since some time there is also a movement to apply this non-classical mathematical tool in social sciences and in humanities, in biology and medicine, and in arts such as music and architecture.

In this special session we will accept papers dealing with the use of scientific methodologies of fuzzy sets and systems to describe or model phenomena in non-technological areas of life. Applications of fuzziness concepts and methods to biology, medicine, economics, sociology, linguistics, art, etc. are welcome, but also theoretical and philosophical reflections on the role of fuzziness in society and culture at a general level.

**Inter-ralation between Interval and Fuzzy Techniques**

Vladik Kreinovich, Karen Villaverde

email: vladik 'at' utep.edu, kvillave 'at' cs.nmsu.edu

The relation between fuzzy and interval techniques is
well known; e.g., due to the fact that a fuzzy number can be
represented as a nested family of intervals (alpha-cuts),
level-by-level interval techniques are often used to process fuzzy
data.

At present, researchers in fuzzy data processing mainly used
interval techniques originally designed for non-fuzzy applications,
techniques which are often taken from textbooks and are, therefore,
already outperformed by more recent and more efficient methods.

One of the main objectives of the proposed special session is to
make the fuzzy community at-large better acquainted with the latest,
most efficient interval techniques, especially with techniques
specifically developed for solving fuzzy-related problems.

Another objective is to combine fuzzy and interval techniques, so
that we will be able to use the combined techniques in (frequent)
practical situations where both types of uncertainty are present:
for example, when some quantities are known with interval
uncertainty (e.g., coming from measurements), while other quantities
are known with fuzzy uncertainty (coming from expert estimates).

**Hybrid Intelligent Systems**

Oscar Castillo and Patricia Melin

email: ocastillo 'at' tectijuana.mx, pmelin 'at' tectijuana.mx

This Special Session will consist of papers that integrate different Soft Computing (SC) methodologies for the development of hybrid intelligent systems for modeling, simulation and control of non-linear dynamical systems. SC methodologies at the moment include (at least) Fuzzy Logic, Neural Networks, Genetic Algorithms and Bio-Inspired Optimization. Each of these methodologies has advantages and disadvantages and many problems have been solved, by using one of these methodologies. However, many real-world complex industrial problems require the integration of several of these methodologies to really achieve the efficiency and accuracy needed in practice. In this Special Session, an overview of SC methodologies, and their applications to modeling, simulation and control, will be given in an introductory paper by the Organizers. Then, detailed methods for integrating the different SC methodologies and neural networks in solving real-world problems will be given in the papers by the other authors in the Special Session. The Special Session will include applications on the following areas: Robotic Dynamic Systems, Non-linear Plants, Manufacturing Systems, and Time Series Prediction.

Successful new applications to real-world problems of neural networks and soft computing techniques that are found to achieve better results than conventional techniques. In this case, special attention should be given to the metrics used to compare SC techniques with conventional ones. •
Developments of innovative hybrid methods combining neural networks with SC techniques and conventional techniques to solve problems related to modeling, simulation and control of non-linear dynamical systems. In this case, the problems to be considered in these papers may not be as complex as the ones in the previous point, but the authors have to explain very carefully how their proposed method could be used, in the future, to solve real-world problems. •
Papers considering original research on new neural network techniques are also welcome, but the authors would have to make a detailed description of how their proposed approach is compared with other related techniques.

**Fuzzy logic with Engineering Applications**

Rehan Sadiq, Ashok Deshpande

email: ashok_deshpande 'at' hotmail.com, rehan.sadiq 'at' ubc.ca

Fuzzy logic and its applications in applied and basic sciences are now well-established and arguments for and against it have reached a steady state. In the recent past, there has been exponentially increasingly visible interest in fuzzy logic application in engineering systems. The proposed special session of NAFIPS 2012 covers a wide range of state-of-the-art topics applications of fuzzy logic including human health exposure and risk assessment, fault diagnosis and reliability analysis, image processing m water supply management, and many more.

**Fuzzy Optimization and Decision Making**

M.H. Fazel Zarandi

email: zarandi 'at' aut.ac.ir

Optimization problems are omnipresent and almost any engineering problem involves one or more forms of optimization. When the values of variables are not known precisely, probability theory is applicable to model and solve the problem. However, many real-world problems encompass a level of non-probabilistic uncertainty which can be dealt with fuzzy logic. Regarding the recent interest in various forms of fuzzy optimization, there is a need to bring together researchers and practitioners in fuzzy optimization and to exchange ideas in NAFIPS 2012. Hence, this special session of NAFIPS 2012 welcomes any theoretical, empirical, or experimental work in fuzzy optimization.

The topics of particular interest to the session include but are not limited to: Decision making under fuzziness •
Real-world case studies of optimization in finance, engineering, mathematics, economics, etc •
Algorithmic developments in fuzzy optimization •
Chance-constrained programming •
Fuzzy stochastic optimization •
Type-II fuzzy optimization •
Application of fuzzy optimization in control •
Simulation-embedded fuzzy optimization •
Fuzzy goal programming •
10. Optimization using fuzzy rule-based systems