Special Interest Group in Evaluation (SIG Eval) of Japan Society for Fuzzy Theory and intelligent informatics was founded by Professor Hisao Shiizuka, Kogakuin University, in 1993 to facilitate the exchange of research information within Japan on evaluation problems. Since 1996, SIG Eval has held an annual workshop, the Workshop on Evaluation of Heart and Mind. In addition to the workshop, SIG Eval has edited this special issue on “Heart and Mind” Evaluation. Contributors include those who often speak at the workshop. The first article, “Feasibility Study on Marketing Research Using Eye Movement: An Investigation of Image Presentation using an Eye Camera and Data Processing,” by Shin'ya Nagasawa, Sora Yim, and Hitoshi Hongo, asserts that, in physiological experiments using an eye camera, the user's interest influences purchasing behavior. The second article, “Statistical Image Analysis of Psychological Projective Drawings,” by Kazuhisa Takemura, Iyuki Takasaki, and Yumi Iwamitsu, discusses the use of statistical image analysis to overcome the difficulty in assessing the reliability of projective drawing techniques. The third article, “Fuzzy Least Squares Regression Analysis for Social Judgment Study,” by Kazuhisa Takemura, proposes fuzzy regression analysis in which a dependent variable, independent variables, and regression parameters are represented by triangular fuzzy numbers. The fourth to sixth articles discuss fuzzy measures, or capacities, which are quite popular for their application in subjective evaluation. The fourth article, “Identification of Fuzzy Measures with Distorted Probability Measures,” by Aoi Honda and Yoshiaki Okazaki, classifies fuzzy measures by introducing the concept of order type, and proposes the method of identifying fuzzy measure μ as a distorted probability of the same, or similar, order type as μ The fifth article, “Semiatoms in Choquet Integral Models of Multiattribute Decision Making,” by Toshiaki Murofushi, characterizes the concept of the semiatom in fuzzy measure theory in the multiattribute preference relation represented by a Choquet integral. The last article, “Some Characterizations of k-Monotonicity through the Bipolar Möbius Transform in Bi-Capacities,” by Katsushige Fujimoto and Toshiaki Murofushi, proposes the bipolar Möbius transform as an extension of the conventional Möbius transform of capacities to that of bi-capacities; the concept of bi-capacity was proposed by Grabisch and Labreuche (2002) for modeling decision making on a bipolar scale. We thank the reviewers and contributers for their time and effort in making this special issue possible, and we wish to thank the JACIII editorial board, especially Professors Kaoru Hirota and Toshio Fukuda, the Editors-in-Chief, and Kenta Uchino, Managing Editor, for their support and advice in putting this special issue together. I have assumed the role of General Chair of the Joint Conference of the Third International Conference on Soft Computing and Intelligent Systems and the Seventh International Symposium on Advanced Intelligent Systems (SCIS & ISIS 2006), to be held at Tokyo Institute of Technology, Japan, on September 20--24, 2006. As is customary, selected papers will be published in special issues of this journal. We invite you to submit your research papers and to participate in SCIS & ISIS 2006. For further information, please visit <u>http://scis2006.cs.dm.u-tokai.ac.jp/</u>.
The Möbius transform and the infinitude of primes
