FELLOWSHIPS AND HONORS

Regents Scholarship, University of Colorado, 1952-1955;
National Defense Education Act (NDEA) Fellowship, New Mexico State University, 1960-1963;
National Science Foundation Postdoctoral Fellowship, 1963-1964;
Distinguished Alumni for the College of Arts and Sciences, 2001.

RESEARCH PAPERS

• On N-high subgroups of Abelian groups, Bull. Soc. Math. France, 89(1961), 451-460 (with J. M. Irwin and E. A. Walker) abstract  pdf
• Splitting properties of high subgroups, Bull. Soc. Math. France, 90(1962) 185-192 (with J. M. Irwin and E. A. Walker) abstract  pdf
• High extensions of Abelian groups, Acta Math. Sci. Hung., 14(1963) 319-330 (with D. K. Harrison, J. M. Irwin, E. A. Walker) abstract pdf
• On p^ß-pure sequences of Abelian groups, Topics in Abelian Groups, Scott Foresman and Co., Chicago, (1963) 69-119 (with J. M. Irwin and E. A. Walker) abstract   pdf
• Properties of Ext and quasi-splitting of Abelian groups, Acta Math. Sci. Hung., 15(1964) 157-160  abstract
• Relative homological algebra and Abelian groups, Ill. Jour. of Math., 10(1966) 186-209  abstract
• Quotient categories of modules, Proceedings of the Conference on Categorical Algebra La Jolla 1965, Springer-Verlag, Berlin (1966) 404-420 (with E. A. Walker)  abstract   pdf
• On a certain purification problem for primary Abelian groups, Bull. Math. Soc. France, 94(1966) 207-210 (with F. Richman) abstract
• Projective classes of Abelian groups, Studies on Abelian Groups, Dunod, Paris, (1968) 335-343 (with F. Richman and E. A. Walker)  abstract   pdf
• Quotient categories and rings of quotients, Rocky Mountain Jour. of Math., 2(1972) 513-555 (with E. A. Walker) abstract   pdf
• Projective classes of completely decomposable Abelian groups, Arkiv der Math., 23(1972) 581-586 abstractps file tex file pdf file
• Projective classes of cotorsion groups, Ill. Jour. of Math., 17(1973) 689-706  abstract
• Local quasi-isomorphisms of torsion free abelian groups, Ill. Jour. of Math., 18(1974) 537-551  abstract
• Unique decomposition and isomorphic refinement theorems in additive categories, Jour. of Pure and Appl. Alg., 7(1976) 347-359 (with R. B. Warfield, Jr.) abstract
• Stone algebra extensions with bounded dense sets, Algebra Universalis, 37(1997) 1-23 (with M. Gehrke and E. Walker) abstract   pdf
• De Morgan systems on the unit interval, International Journal of Intelligent Systems 11(1996) 751-759 (with M. Gehrke and E. Walker)  abstract   pdf
• Some comments on interval-valued fuzzy sets, International Journal of Intelligent Systems 11(1996) 751-759 (with M. Gehrke and E. Walker) abstract   pdf
• A mathematical setting for fuzzy logics, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 5(1997) 223-238 (with M. Gehrke and E. Walker)  abstract   pdf
• A note on negations and nilpotent t-norms, International Journal of Approximate Reasoning, 21(1999) 137-155 (with M. Gehrke and E. Walker) abstract   pdf
• Averaging operators on the unit interval, International Journal of Intelligent Systems, to appear  abstract
• Fuzzy Logics Arising from Strict De Morgan Systems, Topological and Algebraic Structures in Fuzzy Sets, A Handbook of Recent Developments in the Mathematics of Fuzzy Sets, S. Rodabaugh and E. P. Klement, Eds., Kluwer, Dordrecht, (2003) Chapter 9, 257-276 (with M. Gehrke and E. Walker). abstract   pdf
• Groups, t-Norms, and Families of De Morgan Systems, Topological and Algebraic Structures in Fuzzy Sets, A Handbook of Recent Developments in the Mathematics of Fuzzy Sets, S. Rodabaugh and E. P. Klement, Eds., Kluwer, Dordrecht, (2003) Chapter 19, 455-  (with E. Walker). abstract   pdf
• Powers of t-Norms, Fuzzy Sets and Systems, 129 (2002) 1-18 (with E. Walker) abstract   pdf
• Normal Forms and Truth Tables for Fuzzy Logics, Fuzzy Sets and Systems: Special Focus Issue, L. Stout and E. P. Klement, Eds., 138(1) (2003) 25-51 (with M. Gehrke and E. Walker).  pdf
• Automorphisms of Powers of Linearly Ordered Sets, International Journal of Uncertainty, Fuzziness and Knowledge-based Systems, 14-1 (2006) (with E. Walker).
• Automorphisms of the Algebra of Fuzzy Truth Values, International Journal of Uncertainty, Fuzziness and Knowledge-based Systems, 14(6) (2006), 711-732 (with E. Walker).
• Automorphisms of the Algebra of Fuzzy Truth Values II, International Journal of Uncertainty, Fuzziness and Knowledge-based Systems, 16(5) (2008) 627-643 (with E. Walker).
• Varieties generated by t-norms, Soft Computing, vol. 8, no. 4 (2004), 264-267 (with M. Gehrke and E. Walker).
• Generalizing leximin to t-norms and t-conorms: the lexit and lexis orderings, Fuzzy Sets and System,  151 (2005) 327-340  (with E. Walker and R. Yager).
• The algebra of fuzzy truth values, Fuzzy Sets and Systems, 149(2), Jan. 2005, 309-347  (with E. Walker).
• Varieties of algebras in fuzzy set theory, Logical, Algebraic, Analytic, and Probabilistic Aspects of Triangular Norms, E. P. Klement and R. Mesier, eds., Elsevier, Amsterdam, 2005, pp. 321-344, (with G. Bezhanisvili, M. Gehrke, J. Harding, and E.Walker).
• Lattices of convex normal functions, Fuzzy Sets and Systems, 159 (2008), 1061-1071  (with J. Harding and E. Walker).
• Some general comments on fuzzy sets of type-2, International Journal of Intelligent Systems, 24(1) (2009) 62-75 (with E. Walker).
  
• Sets with type-2 operations, International Journal of Approximate Reasoning, 50(2009) 63-71 (with E. Walker).
• Convex normal functions revisited, Fuzzy Sets and Systems, 161 (2010) 1343-1349  (with J. Harding and E. Walker).
  
• Projective Bichains,  Algebra Universalis, to appear (with J. Harding and C. Walker)
  

• Mathematics for the Liberal Arts Student, Brooks-Cole, Monterey, Calif., (1967); Second Edition (1973) (with Fred Richman and Robert J. Wisner).
• College Trigonometry, Scott Foresman and Co., Chicago, 1970 (with Fred Richman and Elbert Walker).
• Doing Mathematics with Scientific WorkPlace, Brooks-Cole, Monterey, Calif., (1995); Revised Edition (1996)(with Darel Hardy).
• Doing Mathematics with Scientific Notebook and Scientific WorkPlace 3.0 (on-line help) (1997) (with Darel Hardy).
• Doing Mathematics with Scientific Notebook and Scientific WorkPlace 3.0, MacKichan Software (web downloadable book) (1998) (with Darel Hardy).
• Doing Mathematics with Scientific Notebook and Scientific WorkPlace 3.5, MacKichan Software, (2000).
• Doing Calculus with Scientific Notebook, Brooks-Cole, Monterey, Calif., (1997) (with Darel Hardy); now available from MacKichan Software.
• Mathematics for the Liberal Arts Student, Prentice-Hall, Inc., Upper Saddle River, New Jersey (2000) (with Fred Richman, Robert J. Wisner, and James Brewer).
• Doing Mathematics with Scientific WorkPlace and Scientific Notebook 4.0, MacKichan Software, (2002) (with Darel Hardy).
• Doing Mathematics with Scientific WorkPlace and Scientific Notebook 5.0, MacKichan Software, (2003) (with Darel Hardy).
• Mathematics for the Liberal Arts Student, Kendall/Hunt, (2003) (with Fred Richman, Robert J. Wisner, and James Brewer).
• A First Course in Fuzzy and Neural Control, Chapman & Hall/CRC, Boca Raton, Florida (2003) (with Hung T. Nguyen, Radipuram Prasad, and Elbert Walker).
• Applied Algebra: Codes, Ciphers, and Discrete Algorithms, Prentice-Hall, Inc., Upper Saddle River, New Jersey (2003) (with Darel Hardy).
• Calculus: Understanding Its Concepts and Methods, MacKichan Software, Inc., (2006) (with Darel Hardy, Fred Richman, and  Robert J. Wisner)
  

    ... ... ...

• Algebraic aspects of fuzzy sets and fuzzy logic, Proceedings of the Workshop on Current Trends and Developments in Fuzzy Logic, Thessaloniki, Greece, October 16-20, 1998 (1999) 101-170 (with M. Gehrke and E. Walker) abstract   pdf
• Some Group Theoretic Aspects of t-norms, Proceedings of the Eighth International Fuzzy System Association World Congress, Vol I, Taipei, Taiwan ROC, August 17-20 (1999) 255-259 (with E. Walker).   pdf
• Algebraic Aspects of Fuzzy Connectives, Proceedings of International symposium on Medical Informatics and fuzzy Technology: MIF'99,  Hanoi, Vietnam, August 26-29 (1999) 306-314 (with M. Gehrke, E. Walker).   pdf
• Some Comments on Fuzzy Normal Forms, Proceedings of the Ninth IEEE International conference on Fuzzy Systems: Fuzz-IEEE 2000, San Antonio, Texas, May 7-10 (2000) 593-596 (with M. Gehrke and E. Walker).   pdf
• Normal Forms and Truth Tables for Interval-valued Fuzzy Logic, 2001 Transactions of the Joint IFSA World Congress and 20-th NAFIPS International Conference, July 25-28, Vancouver, British Columbia, 1327-1331 (with M. Gehrke and E. Walker).  pdf
• Some Basic Theory of Interval-valued Fuzzy Sets, Transactions of the Joint IFSA World Congress and 20-th NAFIPS International Conference, Vancouver, British Columbia,July 25-28 (2001) 1332-1336 (with M. Gehrke and E. Walker).   pdf
• Categories of fuzzy sets, Proceedings of the second International conference on Intelligent Technologies: InTech 2001, Bangkok, Thailand, November 27-29 (2001) 255-259.
• Inequalities in De Morgan Systems I, 2002 IEEE Proceedings of the International Conference on Fuzzy Systems, Honolulu, Hawaii, May 12-17 (2002) 607-609 (with E. Walker).   pdf
• Inequalities in De Morgan Systems II, 2002 IEEE Proceedings of the International Conference on Fuzzy Systems, Honolulu, Hawaii, May 12-17 (2002) 610-615 (with E. Walker).   pdf
• Varieties Generated by t-norms, Proceedings of the Third International Conference on Intelligent Technologies and Third Vietnam-Japan Symposium on Fuzzy Systems and Applications, Hanoi, Vietnam, December 3-5 (2002) 22-24 (with G. Bezhanisvili, M. Gehrke, J. Harding, and E. Walker).
• t-norms on fuzzy sets of type-2, 24th Linz Seminar on fuzzy Set Theory: Triangular Norms and related Operators in Many-Valued Logics, February 4-8 (2003) (with E. Walker)
• Varieties generated by t-norms, 24th Linz Seminar on fuzzy Set Theory: Triangular Norms and related Operators in Many-Valued Logics, February 4-8 (2003) (with G. Bezhanishvili, M. Gehrke, J. Harding, E. Walker)
• Algebraic Structures on fuzzy Sets of Type-2, Proceedings of International conference on Fuzzy Information Processing: Theories and Applications, Beijing, China, March 1-4 (2003) 97-100 (with E. Walker).
• Ordinary, Interval-valued, and Type-2 Fuzzy Sets, (Invited address) Proceedings  of the International Conference on Intelligent Technologies 2003,  Chiang Mai, Thailand, December 17-19, (2004), xiii (with E. Walker).
• Generalizing  Leximin to t-norms and t-conorms, 2004 Proceedings of the 20-th NAFIPS International Conference, June 27-30, Banff, Alberta, Canada, 343-345 ( with E. Walker and R. Yager).
• Automorphisms of Algebras of  Fuzzy Truth Values, Proceedings of the International Conference on Intelligent Technologies 2004, Houston, Texas,  5 pp. (with E. Walker).
• Some Comments on Lexi-T Orderings for Strict t-Norms, IEEE International Conference on Fuzzy Systems, May 22-25, 2005, Reno, Nevada, abstract, 669-671, (with E. Walker and R. Yager).
• Automorphisms of Powers of Linearly Ordered Sets,  Algebraic and Topological Methods in Non-Classical Logics II, June 15-18, 2005, Barcelona, Spain,  89-90, abstract, (with E. Walker).
• Automorphisms of the Algebra of Fuzzy Truth Values I, Proceedings of the 8-th Joint Conference on Information Sciences, July 21-25, 2005, Salt Lake City, Utah, 3pp. abstract, (with E. Walker).
  
• Automorphisms of the Algebra of Fuzzy Truth Values II, Proceedings of the 8-the Joint Conference on Information Sciences, July 21-25, 2005, Salt Lake City, Utah, 2 pp. abstract, (with E. Walker).
• Some General Comments on Type-2 Fuzzy Sets, Proceedings of the 6-th International Conference on Intelligent Technologies  (InTech '05) , (Abstract of Plenary Address), Dec 14-16, 2005,  Phuket, Thailand, (with E. Walker).
• Sets with type-2 operations,  2006 Proceedings of the 21-st NAFIPS International Conference, Montreal, Canada, June 3-6, 5pp. abstract, (with E. Walker).
• T-norms for type-2 fuzzy sets, 2006 Proceedings of the World Congress on Computational Intelligence, Vancouver, Canada, July 16-21, 4 pp. abstract, (with E. Walker).
• A  Survey of  Some Mathematical Aspects of Fuzzy Sets of Type-2,  Proceedings of the 7-th International Conference on Intelligent Technologies  (InTech '06) , (Abstract of one hour Invited Address), Dec 13-15, 2006, Taipei, Taiwan, (with E. Walker).
• Points With Type-2 Operations, Proceedings of IFSA conference, June 2007, Cancun (with E. Walker).
• Type-2 Intervals of Constant Height,  Proceedings of NAFIPS conference, June 2007, San Diego (with E. Walker).

Abelian group theory; applications of homological algebra and category theory to Abelian groups, categories of modules, and general algebraic systems; lattice theory, the mathematics of fuzzy sets and fuzzy logic.

Membership in Professional and Honorary Societies
American Mathematical Society, Association for Women in Mathematics, Phi Kappa Phi, Pi Mu Epsilon

State and National Committees
New Mexico Statewide Articulation Committee, Chairman for Mathematics, Statistics and Computer Science 1982-1987; Co-chair for Mathematics 1991-96
American Mathematical Society Committee on the Agenda, 1985-1991
American Mathematical Society Pi Mu Epsilon Liaison Committee, (Chair) 1990-91

New Mexico State University - Selected Committees and Offices
University Appeals Board, 1972-73 and 1991-93
Women Faculty Steering Committee 1973-75; President 1974-75
Phi Kappa Phi, President of New Mexico State University Chapter 1974-75
Coordinator of AS 300 Women and Society, Spring 1975
College Research Affairs Committee, 1974-75; Chairman, 1975-76
College Council, 1975-76
Mortar Board, Faculty Adviser, 1975-77
Pi Mu Epsilon, Faculty Adviser, 1975-77
Building Committee for Mathematical Sciences/Psychology/Computer Science, 1983-1987
 

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